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What is the Least Common Multiple of 12437 and 12446?

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 12437 and 12446 is 154790902.

LCM(12437,12446) = 154790902

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Least Common Multiple of 12437 and 12446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12437 and 12446, than apply into the LCM equation.

GCF(12437,12446) = 1
LCM(12437,12446) = ( 12437 × 12446) / 1
LCM(12437,12446) = 154790902 / 1
LCM(12437,12446) = 154790902

Least Common Multiple (LCM) of 12437 and 12446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12437 and 12446. First we will calculate the prime factors of 12437 and 12446.

Prime Factorization of 12437

Prime factors of 12437 are 12437. Prime factorization of 12437 in exponential form is:

12437 = 124371

Prime Factorization of 12446

Prime factors of 12446 are 2, 7, 127. Prime factorization of 12446 in exponential form is:

12446 = 21 × 72 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12437 and 12446.

LCM(12437,12446) = 124371 × 21 × 72 × 1271
LCM(12437,12446) = 154790902