To find the least common multiple (LCM) of two numbers, we first need to find the prime factorization of each number. The number 26 can be broken down into 2 x 13. Since one number is even and the other is odd, the even number must contain a factor of 2. The LCM of an even number and an odd number will always be the product of the two numbers, in this case, 26.
Well, honey, that statement is as true as Dolly Parton's hair being fabulous. When you find the Least Common Multiple (LCM) of an odd and even number, the result will always be even because the LCM is the smallest number that both numbers can divide into evenly. And let's face it, odd numbers just can't hang with the even crowd when it comes to being even themselves.
2 and 13
"IT IS ALWAYS A ODD"
No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even
No. 2 times 3 is 6. Multiplying any number by 2 will make it even. Other than that, since all other prime numbers are odd, yes.No, because 2 is a prime number, and any prime number multiplied by 2 is even. However, for any product in which 2 is not a factor, it is odd by definition.
This would be easier with the other number. The LCM of 4 and any odd number is their product. The LCM of 4 and any even number is either the other number or half the other number depending on whether it is a multiple of 4 or not.
2, 26, 39
LCM stands for "least common multiple." By definition, they are multiples of each number, odd or even.
Well, honey, that statement is as true as Dolly Parton's hair being fabulous. When you find the Least Common Multiple (LCM) of an odd and even number, the result will always be even because the LCM is the smallest number that both numbers can divide into evenly. And let's face it, odd numbers just can't hang with the even crowd when it comes to being even themselves.
Of course they can: 2, 3 & 5: LCM 30
Because the second number from an odd number is odd, and every other number is an odd number. In fact, if you add or subtract an even number with any number, the result keeps the same parity as the other number. So an odd number minus an even number is odd, while an even number minus and even number is even.
The LCM of 2 and any odd number is their product.
If the missing number is even, it's the LCM. If it's odd, it's half of the LCM.
2 and 13
That happens because 5 is an odd number. An odd number times an odd number will give you an odd product; an odd number times an even number will give you an even product. The same happens for the multiples of any other odd number.
Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.
odd * odd = odd answer even * even = even answer odd * even = even answer