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What is the Least Common Multiple of 12700 and 12710?

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 12700 and 12710 is 16141700.

LCM(12700,12710) = 16141700

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Least Common Multiple of 12700 and 12710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12700 and 12710, than apply into the LCM equation.

GCF(12700,12710) = 10
LCM(12700,12710) = ( 12700 × 12710) / 10
LCM(12700,12710) = 161417000 / 10
LCM(12700,12710) = 16141700

Least Common Multiple (LCM) of 12700 and 12710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12700 and 12710. First we will calculate the prime factors of 12700 and 12710.

Prime Factorization of 12700

Prime factors of 12700 are 2, 5, 127. Prime factorization of 12700 in exponential form is:

12700 = 22 × 52 × 1271

Prime Factorization of 12710

Prime factors of 12710 are 2, 5, 31, 41. Prime factorization of 12710 in exponential form is:

12710 = 21 × 51 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 12700 and 12710.

LCM(12700,12710) = 22 × 52 × 1271 × 311 × 411
LCM(12700,12710) = 16141700