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What is the Least Common Multiple of 12472 and 12485?

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 12472 and 12485 is 155712920.

LCM(12472,12485) = 155712920

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Least Common Multiple of 12472 and 12485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12472 and 12485, than apply into the LCM equation.

GCF(12472,12485) = 1
LCM(12472,12485) = ( 12472 × 12485) / 1
LCM(12472,12485) = 155712920 / 1
LCM(12472,12485) = 155712920

Least Common Multiple (LCM) of 12472 and 12485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12472 and 12485. First we will calculate the prime factors of 12472 and 12485.

Prime Factorization of 12472

Prime factors of 12472 are 2, 1559. Prime factorization of 12472 in exponential form is:

12472 = 23 × 15591

Prime Factorization of 12485

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

12485 = 51 × 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 12472 and 12485.

LCM(12472,12485) = 23 × 15591 × 51 × 111 × 2271
LCM(12472,12485) = 155712920