GCF and LCM Calculator Logo

What is the Least Common Multiple of 54885 and 54902?

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 54885 and 54902 is 3013296270.

LCM(54885,54902) = 3013296270

LCM Calculator and
and

Least Common Multiple of 54885 and 54902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54885 and 54902, than apply into the LCM equation.

GCF(54885,54902) = 1
LCM(54885,54902) = ( 54885 × 54902) / 1
LCM(54885,54902) = 3013296270 / 1
LCM(54885,54902) = 3013296270

Least Common Multiple (LCM) of 54885 and 54902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54885 and 54902. First we will calculate the prime factors of 54885 and 54902.

Prime Factorization of 54885

Prime factors of 54885 are 3, 5, 3659. Prime factorization of 54885 in exponential form is:

54885 = 31 × 51 × 36591

Prime Factorization of 54902

Prime factors of 54902 are 2, 97, 283. Prime factorization of 54902 in exponential form is:

54902 = 21 × 971 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 54885 and 54902.

LCM(54885,54902) = 31 × 51 × 36591 × 21 × 971 × 2831
LCM(54885,54902) = 3013296270