GCF and LCM Calculator Logo

What is the Least Common Multiple of 30676 and 30693?

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 30676 and 30693 is 941538468.

LCM(30676,30693) = 941538468

LCM Calculator and
and

Least Common Multiple of 30676 and 30693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30676 and 30693, than apply into the LCM equation.

GCF(30676,30693) = 1
LCM(30676,30693) = ( 30676 × 30693) / 1
LCM(30676,30693) = 941538468 / 1
LCM(30676,30693) = 941538468

Least Common Multiple (LCM) of 30676 and 30693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30676 and 30693. First we will calculate the prime factors of 30676 and 30693.

Prime Factorization of 30676

Prime factors of 30676 are 2, 7669. Prime factorization of 30676 in exponential form is:

30676 = 22 × 76691

Prime Factorization of 30693

Prime factors of 30693 are 3, 13, 787. Prime factorization of 30693 in exponential form is:

30693 = 31 × 131 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 30676 and 30693.

LCM(30676,30693) = 22 × 76691 × 31 × 131 × 7871
LCM(30676,30693) = 941538468