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What is the Least Common Multiple of 55437 and 55441?

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 55441 is 3073482717.

LCM(55437,55441) = 3073482717

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Least Common Multiple of 55437 and 55441 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 55441, than apply into the LCM equation.

GCF(55437,55441) = 1
LCM(55437,55441) = ( 55437 × 55441) / 1
LCM(55437,55441) = 3073482717 / 1
LCM(55437,55441) = 3073482717

Least Common Multiple (LCM) of 55437 and 55441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55437 and 55441. First we will calculate the prime factors of 55437 and 55441.

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 55441

Prime factors of 55441 are 55441. Prime factorization of 55441 in exponential form is:

55441 = 554411

Now multiplying the highest exponent prime factors to calculate the LCM of 55437 and 55441.

LCM(55437,55441) = 31 × 171 × 10871 × 554411
LCM(55437,55441) = 3073482717