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What is the Least Common Multiple of 6872 and 6879?

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 6872 and 6879 is 47272488.

LCM(6872,6879) = 47272488

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Least Common Multiple of 6872 and 6879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6872 and 6879, than apply into the LCM equation.

GCF(6872,6879) = 1
LCM(6872,6879) = ( 6872 × 6879) / 1
LCM(6872,6879) = 47272488 / 1
LCM(6872,6879) = 47272488

Least Common Multiple (LCM) of 6872 and 6879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6872 and 6879. First we will calculate the prime factors of 6872 and 6879.

Prime Factorization of 6872

Prime factors of 6872 are 2, 859. Prime factorization of 6872 in exponential form is:

6872 = 23 × 8591

Prime Factorization of 6879

Prime factors of 6879 are 3, 2293. Prime factorization of 6879 in exponential form is:

6879 = 31 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 6872 and 6879.

LCM(6872,6879) = 23 × 8591 × 31 × 22931
LCM(6872,6879) = 47272488