What is the Least Common Multiple of 91456 and 91474?

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 91456 and 91474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91456 and 91474, than apply into the LCM equation.

GCF(91456,91474) = 2
LCM(91456,91474) = ( 91456 × 91474) / 2
LCM(91456,91474) = 8365846144 / 2
LCM(91456,91474) = 4182923072

Least Common Multiple (LCM) of 91456 and 91474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91456 and 91474. First we will calculate the prime factors of 91456 and 91474.

Prime Factorization of 91456

Prime Factorization of 91474

Now multiplying the highest exponent prime factors to calculate the LCM of 91456 and 91474.

LCM(91456,91474) = 2⁶ × 1429¹ × 45737¹
LCM(91456,91474) = 4182923072