What is the Least Common Multiple of 91050 and 91056?

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 91050 and 91056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91050 and 91056, than apply into the LCM equation.

GCF(91050,91056) = 6
LCM(91050,91056) = ( 91050 × 91056) / 6
LCM(91050,91056) = 8290648800 / 6
LCM(91050,91056) = 1381774800

Least Common Multiple (LCM) of 91050 and 91056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91050 and 91056. First we will calculate the prime factors of 91050 and 91056.

Prime Factorization of 91050

Prime Factorization of 91056

Now multiplying the highest exponent prime factors to calculate the LCM of 91050 and 91056.

LCM(91050,91056) = 2⁴ × 3¹ × 5² × 607¹ × 7¹ × 271¹
LCM(91050,91056) = 1381774800