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What is the Least Common Multiple of 12485 and 12495?

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 12485 and 12495 is 31200015.

LCM(12485,12495) = 31200015

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Least Common Multiple of 12485 and 12495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12485 and 12495, than apply into the LCM equation.

GCF(12485,12495) = 5
LCM(12485,12495) = ( 12485 × 12495) / 5
LCM(12485,12495) = 156000075 / 5
LCM(12485,12495) = 31200015

Least Common Multiple (LCM) of 12485 and 12495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12485 and 12495. First we will calculate the prime factors of 12485 and 12495.

Prime Factorization of 12485

Prime factors of 12485 are 5, 11, 227. Prime factorization of 12485 in exponential form is:

12485 = 51 × 111 × 2271

Prime Factorization of 12495

Prime factors of 12495 are 3, 5, 7, 17. Prime factorization of 12495 in exponential form is:

12495 = 31 × 51 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 12485 and 12495.

LCM(12485,12495) = 51 × 111 × 2271 × 31 × 72 × 171
LCM(12485,12495) = 31200015