GCF and LCM Calculator Logo

What is the Least Common Multiple of 54678 and 54687?

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 54678 and 54687 is 996725262.

LCM(54678,54687) = 996725262

LCM Calculator and
and

Least Common Multiple of 54678 and 54687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54678 and 54687, than apply into the LCM equation.

GCF(54678,54687) = 3
LCM(54678,54687) = ( 54678 × 54687) / 3
LCM(54678,54687) = 2990175786 / 3
LCM(54678,54687) = 996725262

Least Common Multiple (LCM) of 54678 and 54687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54678 and 54687. First we will calculate the prime factors of 54678 and 54687.

Prime Factorization of 54678

Prime factors of 54678 are 2, 3, 13, 701. Prime factorization of 54678 in exponential form is:

54678 = 21 × 31 × 131 × 7011

Prime Factorization of 54687

Prime factors of 54687 are 3, 18229. Prime factorization of 54687 in exponential form is:

54687 = 31 × 182291

Now multiplying the highest exponent prime factors to calculate the LCM of 54678 and 54687.

LCM(54678,54687) = 21 × 31 × 131 × 7011 × 182291
LCM(54678,54687) = 996725262