GCF and LCM Calculator Logo

What is the Least Common Multiple of 54832 and 54842?

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 54832 and 54842 is 1503548272.

LCM(54832,54842) = 1503548272

LCM Calculator and
and

Least Common Multiple of 54832 and 54842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54832 and 54842, than apply into the LCM equation.

GCF(54832,54842) = 2
LCM(54832,54842) = ( 54832 × 54842) / 2
LCM(54832,54842) = 3007096544 / 2
LCM(54832,54842) = 1503548272

Least Common Multiple (LCM) of 54832 and 54842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54832 and 54842. First we will calculate the prime factors of 54832 and 54842.

Prime Factorization of 54832

Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:

54832 = 24 × 231 × 1491

Prime Factorization of 54842

Prime factors of 54842 are 2, 17, 1613. Prime factorization of 54842 in exponential form is:

54842 = 21 × 171 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 54832 and 54842.

LCM(54832,54842) = 24 × 231 × 1491 × 171 × 16131
LCM(54832,54842) = 1503548272