What is the Least Common Multiple of 91478 and 91493?

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 91478 and 91493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91478 and 91493, than apply into the LCM equation.

GCF(91478,91493) = 1
LCM(91478,91493) = ( 91478 × 91493) / 1
LCM(91478,91493) = 8369596654 / 1
LCM(91478,91493) = 8369596654

Least Common Multiple (LCM) of 91478 and 91493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91478 and 91493. First we will calculate the prime factors of 91478 and 91493.

Prime Factorization of 91478

Prime Factorization of 91493

Now multiplying the highest exponent prime factors to calculate the LCM of 91478 and 91493.

LCM(91478,91493) = 2¹ × 53¹ × 863¹ × 91493¹
LCM(91478,91493) = 8369596654