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What is the Least Common Multiple of 97607 and 97616?

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 97607 and 97616 is 9528004912.

LCM(97607,97616) = 9528004912

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Least Common Multiple of 97607 and 97616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97607 and 97616, than apply into the LCM equation.

GCF(97607,97616) = 1
LCM(97607,97616) = ( 97607 × 97616) / 1
LCM(97607,97616) = 9528004912 / 1
LCM(97607,97616) = 9528004912

Least Common Multiple (LCM) of 97607 and 97616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97607 and 97616. First we will calculate the prime factors of 97607 and 97616.

Prime Factorization of 97607

Prime factors of 97607 are 97607. Prime factorization of 97607 in exponential form is:

97607 = 976071

Prime Factorization of 97616

Prime factors of 97616 are 2, 6101. Prime factorization of 97616 in exponential form is:

97616 = 24 × 61011

Now multiplying the highest exponent prime factors to calculate the LCM of 97607 and 97616.

LCM(97607,97616) = 976071 × 24 × 61011
LCM(97607,97616) = 9528004912