The LCM of a set of numbers can be prime only if each one of the set is the same Prime number. Otherwise, being a MULTIPLE, it cannot be a prime.
The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. If you have only one number - whether or not it is a prime - you cannot have a least COMMON multiple.
By finding their prime factors
The least common multiple of two primes x and y, is x * y.
You need at least two numbers to find an LCM.
Prime factorization.
5 and 7 are both prime numbers, so the least common multiple is 5*7=35
Prime factorization.
To find the least common denominator of a set of unlike fractions, you first need to list the prime factors of each denominator. Then, identify the highest power of each prime factor that appears in any of the denominators. Finally, multiply these highest powers together to find the least common multiple, which will be the least common denominator for the fractions.
The least common multiple of 25 and 36 is 900. To find the least common multiple you first need to break the numbers down into their prime factors: 25 = 5x5 36 = 2x2x3x3 The next step would be to identify any common factors. In this case there are none. Thus we just multiply all the prime factors together to find the LCM: 2x2x3x3x5x5 = 900 Thus the least common multiple of 25 and 36 is 900.
To find the least common multiple (LCM) of 243 and 405, we first need to find the prime factorization of each number. The prime factorization of 243 is 3^5, and the prime factorization of 405 is 3^4 * 5. To calculate the LCM, we take the highest power of each prime factor that appears in either number, which gives us 3^5 * 5 = 1215. Therefore, the least common multiple of 243 and 405 is 1215.
You need at least to numbers to find a least common multiple.
Prime factorization helps to find the greatest common factor and the least common multiple which, in turn, help in the adding, subtracting and reducing of fractions.