What is the Least Common Multiple of 91256 and 91262?

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 91256 and 91262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91256 and 91262, than apply into the LCM equation.

GCF(91256,91262) = 2
LCM(91256,91262) = ( 91256 × 91262) / 2
LCM(91256,91262) = 8328205072 / 2
LCM(91256,91262) = 4164102536

Least Common Multiple (LCM) of 91256 and 91262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91256 and 91262. First we will calculate the prime factors of 91256 and 91262.

Prime Factorization of 91256

Prime Factorization of 91262

Now multiplying the highest exponent prime factors to calculate the LCM of 91256 and 91262.

LCM(91256,91262) = 2³ × 11¹ × 17¹ × 61¹ × 45631¹
LCM(91256,91262) = 4164102536