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What is the Least Common Multiple of 12550 and 12555?

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 12550 and 12555 is 31513050.

LCM(12550,12555) = 31513050

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Least Common Multiple of 12550 and 12555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12550 and 12555, than apply into the LCM equation.

GCF(12550,12555) = 5
LCM(12550,12555) = ( 12550 × 12555) / 5
LCM(12550,12555) = 157565250 / 5
LCM(12550,12555) = 31513050

Least Common Multiple (LCM) of 12550 and 12555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12550 and 12555. First we will calculate the prime factors of 12550 and 12555.

Prime Factorization of 12550

Prime factors of 12550 are 2, 5, 251. Prime factorization of 12550 in exponential form is:

12550 = 21 × 52 × 2511

Prime Factorization of 12555

Prime factors of 12555 are 3, 5, 31. Prime factorization of 12555 in exponential form is:

12555 = 34 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12550 and 12555.

LCM(12550,12555) = 21 × 52 × 2511 × 34 × 311
LCM(12550,12555) = 31513050