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What is the Least Common Multiple of 97117 and 97136?

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 97136 is 9433556912.

LCM(97117,97136) = 9433556912

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Least Common Multiple of 97117 and 97136 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 97136, than apply into the LCM equation.

GCF(97117,97136) = 1
LCM(97117,97136) = ( 97117 × 97136) / 1
LCM(97117,97136) = 9433556912 / 1
LCM(97117,97136) = 9433556912

Least Common Multiple (LCM) of 97117 and 97136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97117 and 97136. First we will calculate the prime factors of 97117 and 97136.

Prime Factorization of 97117

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

97117 = 971171

Prime Factorization of 97136

Prime factors of 97136 are 2, 13, 467. Prime factorization of 97136 in exponential form is:

97136 = 24 × 131 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 97117 and 97136.

LCM(97117,97136) = 971171 × 24 × 131 × 4671
LCM(97117,97136) = 9433556912