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What is the Least Common Multiple of 12265 and 12272?

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 12265 and 12272 is 150516080.

LCM(12265,12272) = 150516080

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Least Common Multiple of 12265 and 12272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12265 and 12272, than apply into the LCM equation.

GCF(12265,12272) = 1
LCM(12265,12272) = ( 12265 × 12272) / 1
LCM(12265,12272) = 150516080 / 1
LCM(12265,12272) = 150516080

Least Common Multiple (LCM) of 12265 and 12272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12265 and 12272. First we will calculate the prime factors of 12265 and 12272.

Prime Factorization of 12265

Prime factors of 12265 are 5, 11, 223. Prime factorization of 12265 in exponential form is:

12265 = 51 × 111 × 2231

Prime Factorization of 12272

Prime factors of 12272 are 2, 13, 59. Prime factorization of 12272 in exponential form is:

12272 = 24 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12265 and 12272.

LCM(12265,12272) = 51 × 111 × 2231 × 24 × 131 × 591
LCM(12265,12272) = 150516080