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What is the Least Common Multiple of 13002 and 13011?

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 13002 and 13011 is 56389674.

LCM(13002,13011) = 56389674

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Least Common Multiple of 13002 and 13011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13002 and 13011, than apply into the LCM equation.

GCF(13002,13011) = 3
LCM(13002,13011) = ( 13002 × 13011) / 3
LCM(13002,13011) = 169169022 / 3
LCM(13002,13011) = 56389674

Least Common Multiple (LCM) of 13002 and 13011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13002 and 13011. First we will calculate the prime factors of 13002 and 13011.

Prime Factorization of 13002

Prime factors of 13002 are 2, 3, 11, 197. Prime factorization of 13002 in exponential form is:

13002 = 21 × 31 × 111 × 1971

Prime Factorization of 13011

Prime factors of 13011 are 3, 4337. Prime factorization of 13011 in exponential form is:

13011 = 31 × 43371

Now multiplying the highest exponent prime factors to calculate the LCM of 13002 and 13011.

LCM(13002,13011) = 21 × 31 × 111 × 1971 × 43371
LCM(13002,13011) = 56389674