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What is the Least Common Multiple of 74018 and 74036?

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 74018 and 74036 is 2739998324.

LCM(74018,74036) = 2739998324

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Least Common Multiple of 74018 and 74036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74018 and 74036, than apply into the LCM equation.

GCF(74018,74036) = 2
LCM(74018,74036) = ( 74018 × 74036) / 2
LCM(74018,74036) = 5479996648 / 2
LCM(74018,74036) = 2739998324

Least Common Multiple (LCM) of 74018 and 74036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74018 and 74036. First we will calculate the prime factors of 74018 and 74036.

Prime Factorization of 74018

Prime factors of 74018 are 2, 7, 17, 311. Prime factorization of 74018 in exponential form is:

74018 = 21 × 71 × 171 × 3111

Prime Factorization of 74036

Prime factors of 74036 are 2, 83, 223. Prime factorization of 74036 in exponential form is:

74036 = 22 × 831 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 74018 and 74036.

LCM(74018,74036) = 22 × 71 × 171 × 3111 × 831 × 2231
LCM(74018,74036) = 2739998324