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What is the Least Common Multiple of 13127 and 13140?

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 13127 and 13140 is 172488780.

LCM(13127,13140) = 172488780

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Least Common Multiple of 13127 and 13140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13127 and 13140, than apply into the LCM equation.

GCF(13127,13140) = 1
LCM(13127,13140) = ( 13127 × 13140) / 1
LCM(13127,13140) = 172488780 / 1
LCM(13127,13140) = 172488780

Least Common Multiple (LCM) of 13127 and 13140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13127 and 13140. First we will calculate the prime factors of 13127 and 13140.

Prime Factorization of 13127

Prime factors of 13127 are 13127. Prime factorization of 13127 in exponential form is:

13127 = 131271

Prime Factorization of 13140

Prime factors of 13140 are 2, 3, 5, 73. Prime factorization of 13140 in exponential form is:

13140 = 22 × 32 × 51 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 13127 and 13140.

LCM(13127,13140) = 131271 × 22 × 32 × 51 × 731
LCM(13127,13140) = 172488780