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What is the Least Common Multiple of 13452 and 13460?

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 13452 and 13460 is 45265980.

LCM(13452,13460) = 45265980

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Least Common Multiple of 13452 and 13460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13452 and 13460, than apply into the LCM equation.

GCF(13452,13460) = 4
LCM(13452,13460) = ( 13452 × 13460) / 4
LCM(13452,13460) = 181063920 / 4
LCM(13452,13460) = 45265980

Least Common Multiple (LCM) of 13452 and 13460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13452 and 13460. First we will calculate the prime factors of 13452 and 13460.

Prime Factorization of 13452

Prime factors of 13452 are 2, 3, 19, 59. Prime factorization of 13452 in exponential form is:

13452 = 22 × 31 × 191 × 591

Prime Factorization of 13460

Prime factors of 13460 are 2, 5, 673. Prime factorization of 13460 in exponential form is:

13460 = 22 × 51 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 13452 and 13460.

LCM(13452,13460) = 22 × 31 × 191 × 591 × 51 × 6731
LCM(13452,13460) = 45265980