What is the Least Common Multiple of 9264 and 9271?

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 9264 and 9271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9264 and 9271, than apply into the LCM equation.

GCF(9264,9271) = 1
LCM(9264,9271) = ( 9264 × 9271) / 1
LCM(9264,9271) = 85886544 / 1
LCM(9264,9271) = 85886544

Least Common Multiple (LCM) of 9264 and 9271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9264 and 9271. First we will calculate the prime factors of 9264 and 9271.

Prime Factorization of 9264

Prime Factorization of 9271

Now multiplying the highest exponent prime factors to calculate the LCM of 9264 and 9271.

LCM(9264,9271) = 2⁴ × 3¹ × 193¹ × 73¹ × 127¹
LCM(9264,9271) = 85886544