What is the Least Common Multiple of 93120 and 93136?

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 93120 and 93136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93120 and 93136, than apply into the LCM equation.

GCF(93120,93136) = 16
LCM(93120,93136) = ( 93120 × 93136) / 16
LCM(93120,93136) = 8672824320 / 16
LCM(93120,93136) = 542051520

Least Common Multiple (LCM) of 93120 and 93136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93120 and 93136. First we will calculate the prime factors of 93120 and 93136.

Prime Factorization of 93120

Prime Factorization of 93136

Now multiplying the highest exponent prime factors to calculate the LCM of 93120 and 93136.

LCM(93120,93136) = 2⁶ × 3¹ × 5¹ × 97¹ × 5821¹
LCM(93120,93136) = 542051520