GCF and LCM Calculator Logo

What is the Least Common Multiple of 54372 and 54381?

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 54372 and 54381 is 985601244.

LCM(54372,54381) = 985601244

LCM Calculator and
and

Least Common Multiple of 54372 and 54381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54372 and 54381, than apply into the LCM equation.

GCF(54372,54381) = 3
LCM(54372,54381) = ( 54372 × 54381) / 3
LCM(54372,54381) = 2956803732 / 3
LCM(54372,54381) = 985601244

Least Common Multiple (LCM) of 54372 and 54381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54372 and 54381. First we will calculate the prime factors of 54372 and 54381.

Prime Factorization of 54372

Prime factors of 54372 are 2, 3, 23, 197. Prime factorization of 54372 in exponential form is:

54372 = 22 × 31 × 231 × 1971

Prime Factorization of 54381

Prime factors of 54381 are 3, 18127. Prime factorization of 54381 in exponential form is:

54381 = 31 × 181271

Now multiplying the highest exponent prime factors to calculate the LCM of 54372 and 54381.

LCM(54372,54381) = 22 × 31 × 231 × 1971 × 181271
LCM(54372,54381) = 985601244