GCF and LCM Calculator Logo

What is the Least Common Multiple of 54078 and 54087?

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 54078 and 54087 is 974972262.

LCM(54078,54087) = 974972262

LCM Calculator and
and

Least Common Multiple of 54078 and 54087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54078 and 54087, than apply into the LCM equation.

GCF(54078,54087) = 3
LCM(54078,54087) = ( 54078 × 54087) / 3
LCM(54078,54087) = 2924916786 / 3
LCM(54078,54087) = 974972262

Least Common Multiple (LCM) of 54078 and 54087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54078 and 54087. First we will calculate the prime factors of 54078 and 54087.

Prime Factorization of 54078

Prime factors of 54078 are 2, 3, 9013. Prime factorization of 54078 in exponential form is:

54078 = 21 × 31 × 90131

Prime Factorization of 54087

Prime factors of 54087 are 3, 11, 149. Prime factorization of 54087 in exponential form is:

54087 = 31 × 112 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 54078 and 54087.

LCM(54078,54087) = 21 × 31 × 90131 × 112 × 1491
LCM(54078,54087) = 974972262