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What is the Least Common Multiple of 54013 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 54013 and 54020 is 2917782260.

LCM(54013,54020) = 2917782260

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Least Common Multiple of 54013 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 54013 and 54020, than apply into the LCM equation.

GCF(54013,54020) = 1
LCM(54013,54020) = ( 54013 × 54020) / 1
LCM(54013,54020) = 2917782260 / 1
LCM(54013,54020) = 2917782260

Least Common Multiple (LCM) of 54013 and 54020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54013 and 54020. First we will calculate the prime factors of 54013 and 54020.

Prime Factorization of 54013

Prime factors of 54013 are 54013. Prime factorization of 54013 in exponential form is:

54013 = 540131

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 54013 and 54020.

LCM(54013,54020) = 540131 × 22 × 51 × 371 × 731
LCM(54013,54020) = 2917782260