What is the Least Common Multiple of 93120 and 93132?

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 93132 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 93132, than apply into the LCM equation.

GCF(93120,93132) = 12
LCM(93120,93132) = ( 93120 × 93132) / 12
LCM(93120,93132) = 8672451840 / 12
LCM(93120,93132) = 722704320

Least Common Multiple (LCM) of 93120 and 93132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93120 and 93132. First we will calculate the prime factors of 93120 and 93132.

Prime Factorization of 93120

Prime Factorization of 93132

Now multiplying the highest exponent prime factors to calculate the LCM of 93120 and 93132.

LCM(93120,93132) = 2⁶ × 3² × 5¹ × 97¹ × 13¹ × 199¹
LCM(93120,93132) = 722704320