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What is the Least Common Multiple of 6858 and 6876?

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 6858 and 6876 is 2619756.

LCM(6858,6876) = 2619756

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Least Common Multiple of 6858 and 6876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6858 and 6876, than apply into the LCM equation.

GCF(6858,6876) = 18
LCM(6858,6876) = ( 6858 × 6876) / 18
LCM(6858,6876) = 47155608 / 18
LCM(6858,6876) = 2619756

Least Common Multiple (LCM) of 6858 and 6876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6858 and 6876. First we will calculate the prime factors of 6858 and 6876.

Prime Factorization of 6858

Prime factors of 6858 are 2, 3, 127. Prime factorization of 6858 in exponential form is:

6858 = 21 × 33 × 1271

Prime Factorization of 6876

Prime factors of 6876 are 2, 3, 191. Prime factorization of 6876 in exponential form is:

6876 = 22 × 32 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6858 and 6876.

LCM(6858,6876) = 22 × 33 × 1271 × 1911
LCM(6858,6876) = 2619756