What is the Least Common Multiple of 90650 and 90660?

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 90650 and 90660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90650 and 90660, than apply into the LCM equation.

GCF(90650,90660) = 10
LCM(90650,90660) = ( 90650 × 90660) / 10
LCM(90650,90660) = 8218329000 / 10
LCM(90650,90660) = 821832900

Least Common Multiple (LCM) of 90650 and 90660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90650 and 90660. First we will calculate the prime factors of 90650 and 90660.

Prime Factorization of 90650

Prime Factorization of 90660

Now multiplying the highest exponent prime factors to calculate the LCM of 90650 and 90660.

LCM(90650,90660) = 2² × 5² × 7² × 37¹ × 3¹ × 1511¹
LCM(90650,90660) = 821832900