What is the Least Common Multiple of 54088 and 54102?

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 54088 and 54102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54088 and 54102, than apply into the LCM equation.

GCF(54088,54102) = 2
LCM(54088,54102) = ( 54088 × 54102) / 2
LCM(54088,54102) = 2926268976 / 2
LCM(54088,54102) = 1463134488

Least Common Multiple (LCM) of 54088 and 54102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54088 and 54102. First we will calculate the prime factors of 54088 and 54102.

Prime Factorization of 54088

Prime Factorization of 54102

Now multiplying the highest exponent prime factors to calculate the LCM of 54088 and 54102.

LCM(54088,54102) = 2³ × 6761¹ × 3¹ × 71¹ × 127¹
LCM(54088,54102) = 1463134488