What is the Least Common Multiple of 90488 and 90493?

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 90488 and 90493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90488 and 90493, than apply into the LCM equation.

GCF(90488,90493) = 1
LCM(90488,90493) = ( 90488 × 90493) / 1
LCM(90488,90493) = 8188530584 / 1
LCM(90488,90493) = 8188530584

Least Common Multiple (LCM) of 90488 and 90493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90488 and 90493. First we will calculate the prime factors of 90488 and 90493.

Prime Factorization of 90488

Prime Factorization of 90493

Now multiplying the highest exponent prime factors to calculate the LCM of 90488 and 90493.

LCM(90488,90493) = 2³ × 11311¹ × 13¹ × 6961¹
LCM(90488,90493) = 8188530584