What is the Least Common Multiple of 90658 and 90667?

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 90658 and 90667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90658 and 90667, than apply into the LCM equation.

GCF(90658,90667) = 1
LCM(90658,90667) = ( 90658 × 90667) / 1
LCM(90658,90667) = 8219688886 / 1
LCM(90658,90667) = 8219688886

Least Common Multiple (LCM) of 90658 and 90667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90658 and 90667. First we will calculate the prime factors of 90658 and 90667.

Prime Factorization of 90658

Prime Factorization of 90667

Now multiplying the highest exponent prime factors to calculate the LCM of 90658 and 90667.

LCM(90658,90667) = 2¹ × 45329¹ × 71¹ × 1277¹
LCM(90658,90667) = 8219688886