GCF and LCM Calculator Logo

What is the Least Common Multiple of 54604 and 54623?

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 54604 and 54623 is 2982634292.

LCM(54604,54623) = 2982634292

LCM Calculator and
and

Least Common Multiple of 54604 and 54623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54604 and 54623, than apply into the LCM equation.

GCF(54604,54623) = 1
LCM(54604,54623) = ( 54604 × 54623) / 1
LCM(54604,54623) = 2982634292 / 1
LCM(54604,54623) = 2982634292

Least Common Multiple (LCM) of 54604 and 54623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54604 and 54623. First we will calculate the prime factors of 54604 and 54623.

Prime Factorization of 54604

Prime factors of 54604 are 2, 11, 17, 73. Prime factorization of 54604 in exponential form is:

54604 = 22 × 111 × 171 × 731

Prime Factorization of 54623

Prime factors of 54623 are 54623. Prime factorization of 54623 in exponential form is:

54623 = 546231

Now multiplying the highest exponent prime factors to calculate the LCM of 54604 and 54623.

LCM(54604,54623) = 22 × 111 × 171 × 731 × 546231
LCM(54604,54623) = 2982634292