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What is the Least Common Multiple of 79370 and 79378?

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 79370 and 79378 is 3150115930.

LCM(79370,79378) = 3150115930

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Least Common Multiple of 79370 and 79378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79370 and 79378, than apply into the LCM equation.

GCF(79370,79378) = 2
LCM(79370,79378) = ( 79370 × 79378) / 2
LCM(79370,79378) = 6300231860 / 2
LCM(79370,79378) = 3150115930

Least Common Multiple (LCM) of 79370 and 79378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79370 and 79378. First we will calculate the prime factors of 79370 and 79378.

Prime Factorization of 79370

Prime factors of 79370 are 2, 5, 7937. Prime factorization of 79370 in exponential form is:

79370 = 21 × 51 × 79371

Prime Factorization of 79378

Prime factors of 79378 are 2, 13, 43, 71. Prime factorization of 79378 in exponential form is:

79378 = 21 × 131 × 431 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 79370 and 79378.

LCM(79370,79378) = 21 × 51 × 79371 × 131 × 431 × 711
LCM(79370,79378) = 3150115930