What is the Least Common Multiple of 91250 and 91264?

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 91264 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 91264, than apply into the LCM equation.

GCF(91250,91264) = 2
LCM(91250,91264) = ( 91250 × 91264) / 2
LCM(91250,91264) = 8327840000 / 2
LCM(91250,91264) = 4163920000

Least Common Multiple (LCM) of 91250 and 91264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91250 and 91264. First we will calculate the prime factors of 91250 and 91264.

Prime Factorization of 91250

Prime Factorization of 91264

Now multiplying the highest exponent prime factors to calculate the LCM of 91250 and 91264.

LCM(91250,91264) = 2⁷ × 5⁴ × 73¹ × 23¹ × 31¹
LCM(91250,91264) = 4163920000