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What is the Least Common Multiple of 12600 and 12607?

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 12600 and 12607 is 22692600.

LCM(12600,12607) = 22692600

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Least Common Multiple of 12600 and 12607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12600 and 12607, than apply into the LCM equation.

GCF(12600,12607) = 7
LCM(12600,12607) = ( 12600 × 12607) / 7
LCM(12600,12607) = 158848200 / 7
LCM(12600,12607) = 22692600

Least Common Multiple (LCM) of 12600 and 12607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12600 and 12607. First we will calculate the prime factors of 12600 and 12607.

Prime Factorization of 12600

Prime factors of 12600 are 2, 3, 5, 7. Prime factorization of 12600 in exponential form is:

12600 = 23 × 32 × 52 × 71

Prime Factorization of 12607

Prime factors of 12607 are 7, 1801. Prime factorization of 12607 in exponential form is:

12607 = 71 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 12600 and 12607.

LCM(12600,12607) = 23 × 32 × 52 × 71 × 18011
LCM(12600,12607) = 22692600