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What is the Least Common Multiple of 13016 and 13026?

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 13016 and 13026 is 84773208.

LCM(13016,13026) = 84773208

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Least Common Multiple of 13016 and 13026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13016 and 13026, than apply into the LCM equation.

GCF(13016,13026) = 2
LCM(13016,13026) = ( 13016 × 13026) / 2
LCM(13016,13026) = 169546416 / 2
LCM(13016,13026) = 84773208

Least Common Multiple (LCM) of 13016 and 13026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13016 and 13026. First we will calculate the prime factors of 13016 and 13026.

Prime Factorization of 13016

Prime factors of 13016 are 2, 1627. Prime factorization of 13016 in exponential form is:

13016 = 23 × 16271

Prime Factorization of 13026

Prime factors of 13026 are 2, 3, 13, 167. Prime factorization of 13026 in exponential form is:

13026 = 21 × 31 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13016 and 13026.

LCM(13016,13026) = 23 × 16271 × 31 × 131 × 1671
LCM(13016,13026) = 84773208