GCF and LCM Calculator Logo

What is the Least Common Multiple of 54459 and 54474?

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 54459 and 54474 is 988866522.

LCM(54459,54474) = 988866522

LCM Calculator and
and

Least Common Multiple of 54459 and 54474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54459 and 54474, than apply into the LCM equation.

GCF(54459,54474) = 3
LCM(54459,54474) = ( 54459 × 54474) / 3
LCM(54459,54474) = 2966599566 / 3
LCM(54459,54474) = 988866522

Least Common Multiple (LCM) of 54459 and 54474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54459 and 54474. First we will calculate the prime factors of 54459 and 54474.

Prime Factorization of 54459

Prime factors of 54459 are 3, 2017. Prime factorization of 54459 in exponential form is:

54459 = 33 × 20171

Prime Factorization of 54474

Prime factors of 54474 are 2, 3, 7, 1297. Prime factorization of 54474 in exponential form is:

54474 = 21 × 31 × 71 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 54459 and 54474.

LCM(54459,54474) = 33 × 20171 × 21 × 71 × 12971
LCM(54459,54474) = 988866522