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What is the Least Common Multiple of 6872 and 6884?

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 6884 is 11826712.

LCM(6872,6884) = 11826712

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Least Common Multiple of 6872 and 6884 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 6884, than apply into the LCM equation.

GCF(6872,6884) = 4
LCM(6872,6884) = ( 6872 × 6884) / 4
LCM(6872,6884) = 47306848 / 4
LCM(6872,6884) = 11826712

Least Common Multiple (LCM) of 6872 and 6884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6872 and 6884. First we will calculate the prime factors of 6872 and 6884.

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 6884

Prime factors of 6884 are 2, 1721. Prime factorization of 6884 in exponential form is:

6884 = 22 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 6872 and 6884.

LCM(6872,6884) = 23 × 8591 × 17211
LCM(6872,6884) = 11826712