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What is the Least Common Multiple of 2013 and 2018?

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 2013 and 2018 is 4062234.

LCM(2013,2018) = 4062234

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Least Common Multiple of 2013 and 2018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2013 and 2018, than apply into the LCM equation.

GCF(2013,2018) = 1
LCM(2013,2018) = ( 2013 × 2018) / 1
LCM(2013,2018) = 4062234 / 1
LCM(2013,2018) = 4062234

Least Common Multiple (LCM) of 2013 and 2018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2013 and 2018. First we will calculate the prime factors of 2013 and 2018.

Prime Factorization of 2013

Prime factors of 2013 are 3, 11, 61. Prime factorization of 2013 in exponential form is:

2013 = 31 × 111 × 611

Prime Factorization of 2018

Prime factors of 2018 are 2, 1009. Prime factorization of 2018 in exponential form is:

2018 = 21 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 2013 and 2018.

LCM(2013,2018) = 31 × 111 × 611 × 21 × 10091
LCM(2013,2018) = 4062234