What is the Least Common Multiple of 92772 and 92790?

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 of 92772 and 92790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92772 and 92790, than apply into the LCM equation.

GCF(92772,92790) = 18
LCM(92772,92790) = ( 92772 × 92790) / 18
LCM(92772,92790) = 8608313880 / 18
LCM(92772,92790) = 478239660

Least Common Multiple (LCM) of 92772 and 92790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92772 and 92790. First we will calculate the prime factors of 92772 and 92790.

Prime Factorization of 92772

Prime Factorization of 92790

Now multiplying the highest exponent prime factors to calculate the LCM of 92772 and 92790.

LCM(92772,92790) = 2² × 3³ × 859¹ × 5¹ × 1031¹
LCM(92772,92790) = 478239660