What is the Least Common Multiple of 90660 and 90679?

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 90679 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 90679, than apply into the LCM equation.

GCF(90660,90679) = 1
LCM(90660,90679) = ( 90660 × 90679) / 1
LCM(90660,90679) = 8220958140 / 1
LCM(90660,90679) = 8220958140

Least Common Multiple (LCM) of 90660 and 90679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90660 and 90679. First we will calculate the prime factors of 90660 and 90679.

Prime Factorization of 90660

Prime Factorization of 90679

Now multiplying the highest exponent prime factors to calculate the LCM of 90660 and 90679.

LCM(90660,90679) = 2² × 3¹ × 5¹ × 1511¹ × 90679¹
LCM(90660,90679) = 8220958140