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What is the Least Common Multiple of 12246 and 12252?

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 12246 and 12252 is 25006332.

LCM(12246,12252) = 25006332

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Least Common Multiple of 12246 and 12252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12246 and 12252, than apply into the LCM equation.

GCF(12246,12252) = 6
LCM(12246,12252) = ( 12246 × 12252) / 6
LCM(12246,12252) = 150037992 / 6
LCM(12246,12252) = 25006332

Least Common Multiple (LCM) of 12246 and 12252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12246 and 12252. First we will calculate the prime factors of 12246 and 12252.

Prime Factorization of 12246

Prime factors of 12246 are 2, 3, 13, 157. Prime factorization of 12246 in exponential form is:

12246 = 21 × 31 × 131 × 1571

Prime Factorization of 12252

Prime factors of 12252 are 2, 3, 1021. Prime factorization of 12252 in exponential form is:

12252 = 22 × 31 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 12246 and 12252.

LCM(12246,12252) = 22 × 31 × 131 × 1571 × 10211
LCM(12246,12252) = 25006332