GCF and LCM Calculator Logo

What is the Least Common Multiple of 54674 and 54684?

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 54674 and 54684 is 1494896508.

LCM(54674,54684) = 1494896508

LCM Calculator and
and

Least Common Multiple of 54674 and 54684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54674 and 54684, than apply into the LCM equation.

GCF(54674,54684) = 2
LCM(54674,54684) = ( 54674 × 54684) / 2
LCM(54674,54684) = 2989793016 / 2
LCM(54674,54684) = 1494896508

Least Common Multiple (LCM) of 54674 and 54684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54674 and 54684. First we will calculate the prime factors of 54674 and 54684.

Prime Factorization of 54674

Prime factors of 54674 are 2, 27337. Prime factorization of 54674 in exponential form is:

54674 = 21 × 273371

Prime Factorization of 54684

Prime factors of 54684 are 2, 3, 7, 31. Prime factorization of 54684 in exponential form is:

54684 = 22 × 32 × 72 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 54674 and 54684.

LCM(54674,54684) = 22 × 273371 × 32 × 72 × 311
LCM(54674,54684) = 1494896508