What is the Least Common Multiple of 91264 and 91270?

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 91264 and 91270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91264 and 91270, than apply into the LCM equation.

GCF(91264,91270) = 2
LCM(91264,91270) = ( 91264 × 91270) / 2
LCM(91264,91270) = 8329665280 / 2
LCM(91264,91270) = 4164832640

Least Common Multiple (LCM) of 91264 and 91270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91264 and 91270. First we will calculate the prime factors of 91264 and 91270.

Prime Factorization of 91264

Prime Factorization of 91270

Now multiplying the highest exponent prime factors to calculate the LCM of 91264 and 91270.

LCM(91264,91270) = 2⁷ × 23¹ × 31¹ × 5¹ × 9127¹
LCM(91264,91270) = 4164832640