What is the Least Common Multiple of 91478 and 91496?

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 91496 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 91496, than apply into the LCM equation.

GCF(91478,91496) = 2
LCM(91478,91496) = ( 91478 × 91496) / 2
LCM(91478,91496) = 8369871088 / 2
LCM(91478,91496) = 4184935544

Least Common Multiple (LCM) of 91478 and 91496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91478 and 91496. First we will calculate the prime factors of 91478 and 91496.

Prime Factorization of 91478

Prime Factorization of 91496

Now multiplying the highest exponent prime factors to calculate the LCM of 91478 and 91496.

LCM(91478,91496) = 2³ × 53¹ × 863¹ × 11437¹
LCM(91478,91496) = 4184935544