What is the Least Common Multiple of 93280 and 93288?

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 93280 and 93288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93280 and 93288, than apply into the LCM equation.

GCF(93280,93288) = 8
LCM(93280,93288) = ( 93280 × 93288) / 8
LCM(93280,93288) = 8701904640 / 8
LCM(93280,93288) = 1087738080

Least Common Multiple (LCM) of 93280 and 93288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93280 and 93288. First we will calculate the prime factors of 93280 and 93288.

Prime Factorization of 93280

Prime Factorization of 93288

Now multiplying the highest exponent prime factors to calculate the LCM of 93280 and 93288.

LCM(93280,93288) = 2⁵ × 5¹ × 11¹ × 53¹ × 3¹ × 13² × 23¹
LCM(93280,93288) = 1087738080