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What is the Least Common Multiple of 13006 and 13021?

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 13006 and 13021 is 169351126.

LCM(13006,13021) = 169351126

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Least Common Multiple of 13006 and 13021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13006 and 13021, than apply into the LCM equation.

GCF(13006,13021) = 1
LCM(13006,13021) = ( 13006 × 13021) / 1
LCM(13006,13021) = 169351126 / 1
LCM(13006,13021) = 169351126

Least Common Multiple (LCM) of 13006 and 13021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13006 and 13021. First we will calculate the prime factors of 13006 and 13021.

Prime Factorization of 13006

Prime factors of 13006 are 2, 7, 929. Prime factorization of 13006 in exponential form is:

13006 = 21 × 71 × 9291

Prime Factorization of 13021

Prime factors of 13021 are 29, 449. Prime factorization of 13021 in exponential form is:

13021 = 291 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 13006 and 13021.

LCM(13006,13021) = 21 × 71 × 9291 × 291 × 4491
LCM(13006,13021) = 169351126