GCF and LCM Calculator Logo

What is the Least Common Multiple of 54746 and 54759?

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 54746 and 54759 is 2997836214.

LCM(54746,54759) = 2997836214

LCM Calculator and
and

Least Common Multiple of 54746 and 54759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54746 and 54759, than apply into the LCM equation.

GCF(54746,54759) = 1
LCM(54746,54759) = ( 54746 × 54759) / 1
LCM(54746,54759) = 2997836214 / 1
LCM(54746,54759) = 2997836214

Least Common Multiple (LCM) of 54746 and 54759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54746 and 54759. First we will calculate the prime factors of 54746 and 54759.

Prime Factorization of 54746

Prime factors of 54746 are 2, 31, 883. Prime factorization of 54746 in exponential form is:

54746 = 21 × 311 × 8831

Prime Factorization of 54759

Prime factors of 54759 are 3, 18253. Prime factorization of 54759 in exponential form is:

54759 = 31 × 182531

Now multiplying the highest exponent prime factors to calculate the LCM of 54746 and 54759.

LCM(54746,54759) = 21 × 311 × 8831 × 31 × 182531
LCM(54746,54759) = 2997836214