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What is the Least Common Multiple of 12457 and 12466?

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 12457 and 12466 is 155288962.

LCM(12457,12466) = 155288962

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Least Common Multiple of 12457 and 12466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12457 and 12466, than apply into the LCM equation.

GCF(12457,12466) = 1
LCM(12457,12466) = ( 12457 × 12466) / 1
LCM(12457,12466) = 155288962 / 1
LCM(12457,12466) = 155288962

Least Common Multiple (LCM) of 12457 and 12466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12457 and 12466. First we will calculate the prime factors of 12457 and 12466.

Prime Factorization of 12457

Prime factors of 12457 are 12457. Prime factorization of 12457 in exponential form is:

12457 = 124571

Prime Factorization of 12466

Prime factors of 12466 are 2, 23, 271. Prime factorization of 12466 in exponential form is:

12466 = 21 × 231 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 12457 and 12466.

LCM(12457,12466) = 124571 × 21 × 231 × 2711
LCM(12457,12466) = 155288962