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What is the Least Common Multiple of 13260 and 13276?

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 13260 and 13276 is 44009940.

LCM(13260,13276) = 44009940

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Least Common Multiple of 13260 and 13276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13260 and 13276, than apply into the LCM equation.

GCF(13260,13276) = 4
LCM(13260,13276) = ( 13260 × 13276) / 4
LCM(13260,13276) = 176039760 / 4
LCM(13260,13276) = 44009940

Least Common Multiple (LCM) of 13260 and 13276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13260 and 13276. First we will calculate the prime factors of 13260 and 13276.

Prime Factorization of 13260

Prime factors of 13260 are 2, 3, 5, 13, 17. Prime factorization of 13260 in exponential form is:

13260 = 22 × 31 × 51 × 131 × 171

Prime Factorization of 13276

Prime factors of 13276 are 2, 3319. Prime factorization of 13276 in exponential form is:

13276 = 22 × 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 13260 and 13276.

LCM(13260,13276) = 22 × 31 × 51 × 131 × 171 × 33191
LCM(13260,13276) = 44009940