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What is the Least Common Multiple of 95737 and 95754?

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 95737 and 95754 is 9167200698.

LCM(95737,95754) = 9167200698

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Least Common Multiple of 95737 and 95754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95737 and 95754, than apply into the LCM equation.

GCF(95737,95754) = 1
LCM(95737,95754) = ( 95737 × 95754) / 1
LCM(95737,95754) = 9167200698 / 1
LCM(95737,95754) = 9167200698

Least Common Multiple (LCM) of 95737 and 95754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95737 and 95754. First we will calculate the prime factors of 95737 and 95754.

Prime Factorization of 95737

Prime factors of 95737 are 95737. Prime factorization of 95737 in exponential form is:

95737 = 957371

Prime Factorization of 95754

Prime factors of 95754 are 2, 3, 15959. Prime factorization of 95754 in exponential form is:

95754 = 21 × 31 × 159591

Now multiplying the highest exponent prime factors to calculate the LCM of 95737 and 95754.

LCM(95737,95754) = 957371 × 21 × 31 × 159591
LCM(95737,95754) = 9167200698