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What is the Least Common Multiple of 97117 and 97124?

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 97117 and 97124 is 9432391508.

LCM(97117,97124) = 9432391508

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Least Common Multiple of 97117 and 97124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97117 and 97124, than apply into the LCM equation.

GCF(97117,97124) = 1
LCM(97117,97124) = ( 97117 × 97124) / 1
LCM(97117,97124) = 9432391508 / 1
LCM(97117,97124) = 9432391508

Least Common Multiple (LCM) of 97117 and 97124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97117 and 97124. First we will calculate the prime factors of 97117 and 97124.

Prime Factorization of 97117

Prime factors of 97117 are 97117. Prime factorization of 97117 in exponential form is:

97117 = 971171

Prime Factorization of 97124

Prime factors of 97124 are 2, 24281. Prime factorization of 97124 in exponential form is:

97124 = 22 × 242811

Now multiplying the highest exponent prime factors to calculate the LCM of 97117 and 97124.

LCM(97117,97124) = 971171 × 22 × 242811
LCM(97117,97124) = 9432391508