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What is the Least Common Multiple of 9695 and 9715?

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 9695 and 9715 is 18837385.

LCM(9695,9715) = 18837385

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Least Common Multiple of 9695 and 9715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9695 and 9715, than apply into the LCM equation.

GCF(9695,9715) = 5
LCM(9695,9715) = ( 9695 × 9715) / 5
LCM(9695,9715) = 94186925 / 5
LCM(9695,9715) = 18837385

Least Common Multiple (LCM) of 9695 and 9715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9695 and 9715. First we will calculate the prime factors of 9695 and 9715.

Prime Factorization of 9695

Prime factors of 9695 are 5, 7, 277. Prime factorization of 9695 in exponential form is:

9695 = 51 × 71 × 2771

Prime Factorization of 9715

Prime factors of 9715 are 5, 29, 67. Prime factorization of 9715 in exponential form is:

9715 = 51 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 9695 and 9715.

LCM(9695,9715) = 51 × 71 × 2771 × 291 × 671
LCM(9695,9715) = 18837385