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What is the Least Common Multiple of 12252 and 12259?

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 12252 and 12259 is 150197268.

LCM(12252,12259) = 150197268

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Least Common Multiple of 12252 and 12259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12252 and 12259, than apply into the LCM equation.

GCF(12252,12259) = 1
LCM(12252,12259) = ( 12252 × 12259) / 1
LCM(12252,12259) = 150197268 / 1
LCM(12252,12259) = 150197268

Least Common Multiple (LCM) of 12252 and 12259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12252 and 12259. First we will calculate the prime factors of 12252 and 12259.

Prime Factorization of 12252

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

12252 = 22 × 31 × 10211

Prime Factorization of 12259

Prime factors of 12259 are 13, 23, 41. Prime factorization of 12259 in exponential form is:

12259 = 131 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 12252 and 12259.

LCM(12252,12259) = 22 × 31 × 10211 × 131 × 231 × 411
LCM(12252,12259) = 150197268