What is the Least Common Multiple of 93114 and 93128?

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 93114 and 93128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93114 and 93128, than apply into the LCM equation.

GCF(93114,93128) = 14
LCM(93114,93128) = ( 93114 × 93128) / 14
LCM(93114,93128) = 8671520592 / 14
LCM(93114,93128) = 619394328

Least Common Multiple (LCM) of 93114 and 93128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93114 and 93128. First we will calculate the prime factors of 93114 and 93128.

Prime Factorization of 93114

Prime Factorization of 93128

Now multiplying the highest exponent prime factors to calculate the LCM of 93114 and 93128.

LCM(93114,93128) = 2³ × 3² × 7¹ × 739¹ × 1663¹
LCM(93114,93128) = 619394328