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What is the Least Common Multiple of 44340 and 44356?

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 44340 and 44356 is 491686260.

LCM(44340,44356) = 491686260

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Least Common Multiple of 44340 and 44356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44340 and 44356, than apply into the LCM equation.

GCF(44340,44356) = 4
LCM(44340,44356) = ( 44340 × 44356) / 4
LCM(44340,44356) = 1966745040 / 4
LCM(44340,44356) = 491686260

Least Common Multiple (LCM) of 44340 and 44356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44340 and 44356. First we will calculate the prime factors of 44340 and 44356.

Prime Factorization of 44340

Prime factors of 44340 are 2, 3, 5, 739. Prime factorization of 44340 in exponential form is:

44340 = 22 × 31 × 51 × 7391

Prime Factorization of 44356

Prime factors of 44356 are 2, 13, 853. Prime factorization of 44356 in exponential form is:

44356 = 22 × 131 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 44340 and 44356.

LCM(44340,44356) = 22 × 31 × 51 × 7391 × 131 × 8531
LCM(44340,44356) = 491686260