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What is the Least Common Multiple of 79037 and 79051?

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 79037 and 79051 is 892564841.

LCM(79037,79051) = 892564841

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Least Common Multiple of 79037 and 79051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79037 and 79051, than apply into the LCM equation.

GCF(79037,79051) = 7
LCM(79037,79051) = ( 79037 × 79051) / 7
LCM(79037,79051) = 6247953887 / 7
LCM(79037,79051) = 892564841

Least Common Multiple (LCM) of 79037 and 79051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79037 and 79051. First we will calculate the prime factors of 79037 and 79051.

Prime Factorization of 79037

Prime factors of 79037 are 7, 1613. Prime factorization of 79037 in exponential form is:

79037 = 72 × 16131

Prime Factorization of 79051

Prime factors of 79051 are 7, 23, 491. Prime factorization of 79051 in exponential form is:

79051 = 71 × 231 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 79037 and 79051.

LCM(79037,79051) = 72 × 16131 × 231 × 4911
LCM(79037,79051) = 892564841