What is the Least Common Multiple of 90658 and 90670?

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 90670 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 90670, than apply into the LCM equation.

GCF(90658,90670) = 2
LCM(90658,90670) = ( 90658 × 90670) / 2
LCM(90658,90670) = 8219960860 / 2
LCM(90658,90670) = 4109980430

Least Common Multiple (LCM) of 90658 and 90670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90658 and 90670. First we will calculate the prime factors of 90658 and 90670.

Prime Factorization of 90658

Prime Factorization of 90670

Now multiplying the highest exponent prime factors to calculate the LCM of 90658 and 90670.

LCM(90658,90670) = 2¹ × 45329¹ × 5¹ × 9067¹
LCM(90658,90670) = 4109980430