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What is the Least Common Multiple of 12255 and 12273?

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 12255 and 12273 is 50135205.

LCM(12255,12273) = 50135205

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Least Common Multiple of 12255 and 12273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12255 and 12273, than apply into the LCM equation.

GCF(12255,12273) = 3
LCM(12255,12273) = ( 12255 × 12273) / 3
LCM(12255,12273) = 150405615 / 3
LCM(12255,12273) = 50135205

Least Common Multiple (LCM) of 12255 and 12273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12255 and 12273. First we will calculate the prime factors of 12255 and 12273.

Prime Factorization of 12255

Prime factors of 12255 are 3, 5, 19, 43. Prime factorization of 12255 in exponential form is:

12255 = 31 × 51 × 191 × 431

Prime Factorization of 12273

Prime factors of 12273 are 3, 4091. Prime factorization of 12273 in exponential form is:

12273 = 31 × 40911

Now multiplying the highest exponent prime factors to calculate the LCM of 12255 and 12273.

LCM(12255,12273) = 31 × 51 × 191 × 431 × 40911
LCM(12255,12273) = 50135205