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What is the Least Common Multiple of 97159 and 97178?

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 97159 and 97178 is 9441717302.

LCM(97159,97178) = 9441717302

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Least Common Multiple of 97159 and 97178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97159 and 97178, than apply into the LCM equation.

GCF(97159,97178) = 1
LCM(97159,97178) = ( 97159 × 97178) / 1
LCM(97159,97178) = 9441717302 / 1
LCM(97159,97178) = 9441717302

Least Common Multiple (LCM) of 97159 and 97178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97159 and 97178. First we will calculate the prime factors of 97159 and 97178.

Prime Factorization of 97159

Prime factors of 97159 are 97159. Prime factorization of 97159 in exponential form is:

97159 = 971591

Prime Factorization of 97178

Prime factors of 97178 are 2, 48589. Prime factorization of 97178 in exponential form is:

97178 = 21 × 485891

Now multiplying the highest exponent prime factors to calculate the LCM of 97159 and 97178.

LCM(97159,97178) = 971591 × 21 × 485891
LCM(97159,97178) = 9441717302