What is the Least Common Multiple of 90657 and 90676?

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 90657 and 90676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90657 and 90676, than apply into the LCM equation.

GCF(90657,90676) = 1
LCM(90657,90676) = ( 90657 × 90676) / 1
LCM(90657,90676) = 8220414132 / 1
LCM(90657,90676) = 8220414132

Least Common Multiple (LCM) of 90657 and 90676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90657 and 90676. First we will calculate the prime factors of 90657 and 90676.

Prime Factorization of 90657

Prime Factorization of 90676

Now multiplying the highest exponent prime factors to calculate the LCM of 90657 and 90676.

LCM(90657,90676) = 3² × 7¹ × 1439¹ × 2² × 22669¹
LCM(90657,90676) = 8220414132