GCF and LCM Calculator Logo

What is the Least Common Multiple of 54103 and 54108?

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 (LCM) of 54103 and 54108 is 2927405124.

LCM(54103,54108) = 2927405124

LCM Calculator and
and

Least Common Multiple of 54103 and 54108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54103 and 54108, than apply into the LCM equation.

GCF(54103,54108) = 1
LCM(54103,54108) = ( 54103 × 54108) / 1
LCM(54103,54108) = 2927405124 / 1
LCM(54103,54108) = 2927405124

Least Common Multiple (LCM) of 54103 and 54108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54103 and 54108. First we will calculate the prime factors of 54103 and 54108.

Prime Factorization of 54103

Prime factors of 54103 are 7, 59, 131. Prime factorization of 54103 in exponential form is:

54103 = 71 × 591 × 1311

Prime Factorization of 54108

Prime factors of 54108 are 2, 3, 167. Prime factorization of 54108 in exponential form is:

54108 = 22 × 34 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 54103 and 54108.

LCM(54103,54108) = 71 × 591 × 1311 × 22 × 34 × 1671
LCM(54103,54108) = 2927405124