What is the Least Common Multiple of 90660 and 90677?

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 90660 and 90677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90660 and 90677, than apply into the LCM equation.

GCF(90660,90677) = 1
LCM(90660,90677) = ( 90660 × 90677) / 1
LCM(90660,90677) = 8220776820 / 1
LCM(90660,90677) = 8220776820

Least Common Multiple (LCM) of 90660 and 90677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90660 and 90677. First we will calculate the prime factors of 90660 and 90677.

Prime Factorization of 90660

Prime Factorization of 90677

Now multiplying the highest exponent prime factors to calculate the LCM of 90660 and 90677.

LCM(90660,90677) = 2² × 3¹ × 5¹ × 1511¹ × 90677¹
LCM(90660,90677) = 8220776820