What is the Least Common Multiple of 93084 and 93088?

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 93084 and 93088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93084 and 93088, than apply into the LCM equation.

GCF(93084,93088) = 4
LCM(93084,93088) = ( 93084 × 93088) / 4
LCM(93084,93088) = 8665003392 / 4
LCM(93084,93088) = 2166250848

Least Common Multiple (LCM) of 93084 and 93088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93084 and 93088. First we will calculate the prime factors of 93084 and 93088.

Prime Factorization of 93084

Prime Factorization of 93088

Now multiplying the highest exponent prime factors to calculate the LCM of 93084 and 93088.

LCM(93084,93088) = 2⁵ × 3¹ × 7757¹ × 2909¹
LCM(93084,93088) = 2166250848