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What is the Least Common Multiple of 65695 and 65709?

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 65709 is 616678965.

LCM(65695,65709) = 616678965

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Least Common Multiple of 65695 and 65709 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 65709, than apply into the LCM equation.

GCF(65695,65709) = 7
LCM(65695,65709) = ( 65695 × 65709) / 7
LCM(65695,65709) = 4316752755 / 7
LCM(65695,65709) = 616678965

Least Common Multiple (LCM) of 65695 and 65709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65695 and 65709. First we will calculate the prime factors of 65695 and 65709.

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 65709

Prime factors of 65709 are 3, 7, 149. Prime factorization of 65709 in exponential form is:

65709 = 32 × 72 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 65695 and 65709.

LCM(65695,65709) = 51 × 72 × 18771 × 32 × 1491
LCM(65695,65709) = 616678965