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What is the Least Common Multiple of 55437 and 55452?

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 55437 and 55452 is 1024697508.

LCM(55437,55452) = 1024697508

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Least Common Multiple of 55437 and 55452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55437 and 55452, than apply into the LCM equation.

GCF(55437,55452) = 3
LCM(55437,55452) = ( 55437 × 55452) / 3
LCM(55437,55452) = 3074092524 / 3
LCM(55437,55452) = 1024697508

Least Common Multiple (LCM) of 55437 and 55452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55437 and 55452. First we will calculate the prime factors of 55437 and 55452.

Prime Factorization of 55437

Prime factors of 55437 are 3, 17, 1087. Prime factorization of 55437 in exponential form is:

55437 = 31 × 171 × 10871

Prime Factorization of 55452

Prime factors of 55452 are 2, 3, 4621. Prime factorization of 55452 in exponential form is:

55452 = 22 × 31 × 46211

Now multiplying the highest exponent prime factors to calculate the LCM of 55437 and 55452.

LCM(55437,55452) = 31 × 171 × 10871 × 22 × 46211
LCM(55437,55452) = 1024697508