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What is the Least Common Multiple of 79169 and 79176?

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 79169 and 79176 is 6268284744.

LCM(79169,79176) = 6268284744

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Least Common Multiple of 79169 and 79176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79169 and 79176, than apply into the LCM equation.

GCF(79169,79176) = 1
LCM(79169,79176) = ( 79169 × 79176) / 1
LCM(79169,79176) = 6268284744 / 1
LCM(79169,79176) = 6268284744

Least Common Multiple (LCM) of 79169 and 79176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79169 and 79176. First we will calculate the prime factors of 79169 and 79176.

Prime Factorization of 79169

Prime factors of 79169 are 17, 4657. Prime factorization of 79169 in exponential form is:

79169 = 171 × 46571

Prime Factorization of 79176

Prime factors of 79176 are 2, 3, 3299. Prime factorization of 79176 in exponential form is:

79176 = 23 × 31 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 79169 and 79176.

LCM(79169,79176) = 171 × 46571 × 23 × 31 × 32991
LCM(79169,79176) = 6268284744