GCF and LCM Calculator Logo

What is the Least Common Multiple of 68676 and 68687?

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 68676 and 68687 is 4717148412.

LCM(68676,68687) = 4717148412

LCM Calculator and
and

Least Common Multiple of 68676 and 68687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68676 and 68687, than apply into the LCM equation.

GCF(68676,68687) = 1
LCM(68676,68687) = ( 68676 × 68687) / 1
LCM(68676,68687) = 4717148412 / 1
LCM(68676,68687) = 4717148412

Least Common Multiple (LCM) of 68676 and 68687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68676 and 68687. First we will calculate the prime factors of 68676 and 68687.

Prime Factorization of 68676

Prime factors of 68676 are 2, 3, 59, 97. Prime factorization of 68676 in exponential form is:

68676 = 22 × 31 × 591 × 971

Prime Factorization of 68687

Prime factors of 68687 are 68687. Prime factorization of 68687 in exponential form is:

68687 = 686871

Now multiplying the highest exponent prime factors to calculate the LCM of 68676 and 68687.

LCM(68676,68687) = 22 × 31 × 591 × 971 × 686871
LCM(68676,68687) = 4717148412