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What is the Least Common Multiple of 54013 and 54022?

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 54022 is 2917890286.

LCM(54013,54022) = 2917890286

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Least Common Multiple of 54013 and 54022 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 54022, than apply into the LCM equation.

GCF(54013,54022) = 1
LCM(54013,54022) = ( 54013 × 54022) / 1
LCM(54013,54022) = 2917890286 / 1
LCM(54013,54022) = 2917890286

Least Common Multiple (LCM) of 54013 and 54022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54013 and 54022. First we will calculate the prime factors of 54013 and 54022.

Prime Factorization of 54013

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

54013 = 540131

Prime Factorization of 54022

Prime factors of 54022 are 2, 27011. Prime factorization of 54022 in exponential form is:

54022 = 21 × 270111

Now multiplying the highest exponent prime factors to calculate the LCM of 54013 and 54022.

LCM(54013,54022) = 540131 × 21 × 270111
LCM(54013,54022) = 2917890286