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What is the Least Common Multiple of 8017 and 8036?

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 8017 and 8036 is 64424612.

LCM(8017,8036) = 64424612

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Least Common Multiple of 8017 and 8036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8017 and 8036, than apply into the LCM equation.

GCF(8017,8036) = 1
LCM(8017,8036) = ( 8017 × 8036) / 1
LCM(8017,8036) = 64424612 / 1
LCM(8017,8036) = 64424612

Least Common Multiple (LCM) of 8017 and 8036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8017 and 8036. First we will calculate the prime factors of 8017 and 8036.

Prime Factorization of 8017

Prime factors of 8017 are 8017. Prime factorization of 8017 in exponential form is:

8017 = 80171

Prime Factorization of 8036

Prime factors of 8036 are 2, 7, 41. Prime factorization of 8036 in exponential form is:

8036 = 22 × 72 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8017 and 8036.

LCM(8017,8036) = 80171 × 22 × 72 × 411
LCM(8017,8036) = 64424612