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What is the Least Common Multiple of 79165 and 79179?

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 79165 and 79179 is 6268205535.

LCM(79165,79179) = 6268205535

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Least Common Multiple of 79165 and 79179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79165 and 79179, than apply into the LCM equation.

GCF(79165,79179) = 1
LCM(79165,79179) = ( 79165 × 79179) / 1
LCM(79165,79179) = 6268205535 / 1
LCM(79165,79179) = 6268205535

Least Common Multiple (LCM) of 79165 and 79179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79165 and 79179. First we will calculate the prime factors of 79165 and 79179.

Prime Factorization of 79165

Prime factors of 79165 are 5, 71, 223. Prime factorization of 79165 in exponential form is:

79165 = 51 × 711 × 2231

Prime Factorization of 79179

Prime factors of 79179 are 3, 26393. Prime factorization of 79179 in exponential form is:

79179 = 31 × 263931

Now multiplying the highest exponent prime factors to calculate the LCM of 79165 and 79179.

LCM(79165,79179) = 51 × 711 × 2231 × 31 × 263931
LCM(79165,79179) = 6268205535