3 and 17
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3 and 4
13 is prime. The LCM will therefore have to be the product of these two numbers.
If the HCF (Highest Common Factor) of two numbers is 1, then the two numbers are relatively prime and their LCM is the product of the two numbers.
First you Prime Factorize the two (or more) numbers. The LCM of the two (or more) numbers must contain all the prime factors of the two (or more) numbers that made it. To find the LOWEST common multiple, for each prime factor, find from one of the numbers where the prime factor has the highest power. The highest powers of each prime multiply together to form the LCM of the numbers. e.g. LCM of 36 and 24 36 = (2^2)(3^2) 24 = (2^3)3 LCM = (2^3)(3^2) = 72
To find two numbers whose product is 90 and least common multiple (LCM) is 30, we need to consider the prime factorization of both numbers. The prime factors of 90 are 2 x 3 x 3 x 5, and the prime factors of 30 are 2 x 3 x 5. To find the numbers, we pair up the common factors and multiply them together, which gives us 2 x 3 = 6 and 5. Therefore, the two numbers are 6 and 15.