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What is the Least Common Multiple of 12424 and 12437?

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 12424 and 12437 is 154517288.

LCM(12424,12437) = 154517288

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Least Common Multiple of 12424 and 12437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12424 and 12437, than apply into the LCM equation.

GCF(12424,12437) = 1
LCM(12424,12437) = ( 12424 × 12437) / 1
LCM(12424,12437) = 154517288 / 1
LCM(12424,12437) = 154517288

Least Common Multiple (LCM) of 12424 and 12437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12424 and 12437. First we will calculate the prime factors of 12424 and 12437.

Prime Factorization of 12424

Prime factors of 12424 are 2, 1553. Prime factorization of 12424 in exponential form is:

12424 = 23 × 15531

Prime Factorization of 12437

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

12437 = 124371

Now multiplying the highest exponent prime factors to calculate the LCM of 12424 and 12437.

LCM(12424,12437) = 23 × 15531 × 124371
LCM(12424,12437) = 154517288