What is the Least Common Multiple of 90610 and 90623?

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 90610 and 90623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90610 and 90623, than apply into the LCM equation.

GCF(90610,90623) = 13
LCM(90610,90623) = ( 90610 × 90623) / 13
LCM(90610,90623) = 8211350030 / 13
LCM(90610,90623) = 631642310

Least Common Multiple (LCM) of 90610 and 90623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90610 and 90623. First we will calculate the prime factors of 90610 and 90623.

Prime Factorization of 90610

Prime Factorization of 90623

Now multiplying the highest exponent prime factors to calculate the LCM of 90610 and 90623.

LCM(90610,90623) = 2¹ × 5¹ × 13¹ × 17¹ × 41¹ × 6971¹
LCM(90610,90623) = 631642310