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What is the Least Common Multiple of 60018 and 60036?

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 60018 and 60036 is 600540108.

LCM(60018,60036) = 600540108

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Least Common Multiple of 60018 and 60036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60018 and 60036, than apply into the LCM equation.

GCF(60018,60036) = 6
LCM(60018,60036) = ( 60018 × 60036) / 6
LCM(60018,60036) = 3603240648 / 6
LCM(60018,60036) = 600540108

Least Common Multiple (LCM) of 60018 and 60036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60018 and 60036. First we will calculate the prime factors of 60018 and 60036.

Prime Factorization of 60018

Prime factors of 60018 are 2, 3, 7, 1429. Prime factorization of 60018 in exponential form is:

60018 = 21 × 31 × 71 × 14291

Prime Factorization of 60036

Prime factors of 60036 are 2, 3, 5003. Prime factorization of 60036 in exponential form is:

60036 = 22 × 31 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 60018 and 60036.

LCM(60018,60036) = 22 × 31 × 71 × 14291 × 50031
LCM(60018,60036) = 600540108