What is the Least Common Multiple of 91250 and 91256?

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 91250 and 91256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91250 and 91256, than apply into the LCM equation.

GCF(91250,91256) = 2
LCM(91250,91256) = ( 91250 × 91256) / 2
LCM(91250,91256) = 8327110000 / 2
LCM(91250,91256) = 4163555000

Least Common Multiple (LCM) of 91250 and 91256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91250 and 91256. First we will calculate the prime factors of 91250 and 91256.

Prime Factorization of 91250

Prime Factorization of 91256

Now multiplying the highest exponent prime factors to calculate the LCM of 91250 and 91256.

LCM(91250,91256) = 2³ × 5⁴ × 73¹ × 11¹ × 17¹ × 61¹
LCM(91250,91256) = 4163555000