What is the Least Common Multiple of 90659 and 90666?

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 90659 and 90666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90659 and 90666, than apply into the LCM equation.

GCF(90659,90666) = 1
LCM(90659,90666) = ( 90659 × 90666) / 1
LCM(90659,90666) = 8219688894 / 1
LCM(90659,90666) = 8219688894

Least Common Multiple (LCM) of 90659 and 90666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90659 and 90666. First we will calculate the prime factors of 90659 and 90666.

Prime Factorization of 90659

Prime Factorization of 90666

Now multiplying the highest exponent prime factors to calculate the LCM of 90659 and 90666.

LCM(90659,90666) = 90659¹ × 2¹ × 3³ × 23¹ × 73¹
LCM(90659,90666) = 8219688894