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What is the Least Common Multiple of 65695 and 65714?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 65695 and 65714 is 4317081230.

LCM(65695,65714) = 4317081230

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Least Common Multiple of 65695 and 65714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65695 and 65714, than apply into the LCM equation.

GCF(65695,65714) = 1
LCM(65695,65714) = ( 65695 × 65714) / 1
LCM(65695,65714) = 4317081230 / 1
LCM(65695,65714) = 4317081230

Least Common Multiple (LCM) of 65695 and 65714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65695 and 65714. First we will calculate the prime factors of 65695 and 65714.

Prime Factorization of 65695

Prime factors of 65695 are 5, 7, 1877. Prime factorization of 65695 in exponential form is:

65695 = 51 × 71 × 18771

Prime Factorization of 65714

Prime factors of 65714 are 2, 11, 29, 103. Prime factorization of 65714 in exponential form is:

65714 = 21 × 111 × 291 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 65695 and 65714.

LCM(65695,65714) = 51 × 71 × 18771 × 21 × 111 × 291 × 1031
LCM(65695,65714) = 4317081230