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What is the Least Common Multiple of 79377 and 79386?

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 79377 and 79386 is 2100474174.

LCM(79377,79386) = 2100474174

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Least Common Multiple of 79377 and 79386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79377 and 79386, than apply into the LCM equation.

GCF(79377,79386) = 3
LCM(79377,79386) = ( 79377 × 79386) / 3
LCM(79377,79386) = 6301422522 / 3
LCM(79377,79386) = 2100474174

Least Common Multiple (LCM) of 79377 and 79386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79377 and 79386. First we will calculate the prime factors of 79377 and 79386.

Prime Factorization of 79377

Prime factors of 79377 are 3, 26459. Prime factorization of 79377 in exponential form is:

79377 = 31 × 264591

Prime Factorization of 79386

Prime factors of 79386 are 2, 3, 101, 131. Prime factorization of 79386 in exponential form is:

79386 = 21 × 31 × 1011 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 79377 and 79386.

LCM(79377,79386) = 31 × 264591 × 21 × 1011 × 1311
LCM(79377,79386) = 2100474174