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What is the Least Common Multiple of 44273 and 44277?

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 44273 and 44277 is 1960275621.

LCM(44273,44277) = 1960275621

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Least Common Multiple of 44273 and 44277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44273 and 44277, than apply into the LCM equation.

GCF(44273,44277) = 1
LCM(44273,44277) = ( 44273 × 44277) / 1
LCM(44273,44277) = 1960275621 / 1
LCM(44273,44277) = 1960275621

Least Common Multiple (LCM) of 44273 and 44277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44273 and 44277. First we will calculate the prime factors of 44273 and 44277.

Prime Factorization of 44273

Prime factors of 44273 are 44273. Prime factorization of 44273 in exponential form is:

44273 = 442731

Prime Factorization of 44277

Prime factors of 44277 are 3, 14759. Prime factorization of 44277 in exponential form is:

44277 = 31 × 147591

Now multiplying the highest exponent prime factors to calculate the LCM of 44273 and 44277.

LCM(44273,44277) = 442731 × 31 × 147591
LCM(44273,44277) = 1960275621