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What is the Least Common Multiple of 12444 and 12460?

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 12444 and 12460 is 38763060.

LCM(12444,12460) = 38763060

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Least Common Multiple of 12444 and 12460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12444 and 12460, than apply into the LCM equation.

GCF(12444,12460) = 4
LCM(12444,12460) = ( 12444 × 12460) / 4
LCM(12444,12460) = 155052240 / 4
LCM(12444,12460) = 38763060

Least Common Multiple (LCM) of 12444 and 12460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12444 and 12460. First we will calculate the prime factors of 12444 and 12460.

Prime Factorization of 12444

Prime factors of 12444 are 2, 3, 17, 61. Prime factorization of 12444 in exponential form is:

12444 = 22 × 31 × 171 × 611

Prime Factorization of 12460

Prime factors of 12460 are 2, 5, 7, 89. Prime factorization of 12460 in exponential form is:

12460 = 22 × 51 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 12444 and 12460.

LCM(12444,12460) = 22 × 31 × 171 × 611 × 51 × 71 × 891
LCM(12444,12460) = 38763060