GCF and LCM Calculator Logo

What is the Least Common Multiple of 54132 and 54141?

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 54132 and 54141 is 976920204.

LCM(54132,54141) = 976920204

LCM Calculator and
and

Least Common Multiple of 54132 and 54141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54132 and 54141, than apply into the LCM equation.

GCF(54132,54141) = 3
LCM(54132,54141) = ( 54132 × 54141) / 3
LCM(54132,54141) = 2930760612 / 3
LCM(54132,54141) = 976920204

Least Common Multiple (LCM) of 54132 and 54141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54132 and 54141. First we will calculate the prime factors of 54132 and 54141.

Prime Factorization of 54132

Prime factors of 54132 are 2, 3, 13, 347. Prime factorization of 54132 in exponential form is:

54132 = 22 × 31 × 131 × 3471

Prime Factorization of 54141

Prime factors of 54141 are 3, 18047. Prime factorization of 54141 in exponential form is:

54141 = 31 × 180471

Now multiplying the highest exponent prime factors to calculate the LCM of 54132 and 54141.

LCM(54132,54141) = 22 × 31 × 131 × 3471 × 180471
LCM(54132,54141) = 976920204