GCF and LCM Calculator Logo

What is the Least Common Multiple of 54011 and 54020?

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 54011 and 54020 is 2917674220.

LCM(54011,54020) = 2917674220

LCM Calculator and
and

Least Common Multiple of 54011 and 54020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54011 and 54020, than apply into the LCM equation.

GCF(54011,54020) = 1
LCM(54011,54020) = ( 54011 × 54020) / 1
LCM(54011,54020) = 2917674220 / 1
LCM(54011,54020) = 2917674220

Least Common Multiple (LCM) of 54011 and 54020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54011 and 54020. First we will calculate the prime factors of 54011 and 54020.

Prime Factorization of 54011

Prime factors of 54011 are 54011. Prime factorization of 54011 in exponential form is:

54011 = 540111

Prime Factorization of 54020

Prime factors of 54020 are 2, 5, 37, 73. Prime factorization of 54020 in exponential form is:

54020 = 22 × 51 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 54011 and 54020.

LCM(54011,54020) = 540111 × 22 × 51 × 371 × 731
LCM(54011,54020) = 2917674220