What is the Least Common Multiple of 54112 and 54132?

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 54112 and 54132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54112 and 54132, than apply into the LCM equation.

GCF(54112,54132) = 4
LCM(54112,54132) = ( 54112 × 54132) / 4
LCM(54112,54132) = 2929190784 / 4
LCM(54112,54132) = 732297696

Least Common Multiple (LCM) of 54112 and 54132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54112 and 54132. First we will calculate the prime factors of 54112 and 54132.

Prime Factorization of 54112

Prime Factorization of 54132

Now multiplying the highest exponent prime factors to calculate the LCM of 54112 and 54132.

LCM(54112,54132) = 2⁵ × 19¹ × 89¹ × 3¹ × 13¹ × 347¹
LCM(54112,54132) = 732297696