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What is the Least Common Multiple of 44061 and 44073?

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 44061 and 44073 is 647300151.

LCM(44061,44073) = 647300151

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Least Common Multiple of 44061 and 44073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44061 and 44073, than apply into the LCM equation.

GCF(44061,44073) = 3
LCM(44061,44073) = ( 44061 × 44073) / 3
LCM(44061,44073) = 1941900453 / 3
LCM(44061,44073) = 647300151

Least Common Multiple (LCM) of 44061 and 44073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44061 and 44073. First we will calculate the prime factors of 44061 and 44073.

Prime Factorization of 44061

Prime factors of 44061 are 3, 19, 773. Prime factorization of 44061 in exponential form is:

44061 = 31 × 191 × 7731

Prime Factorization of 44073

Prime factors of 44073 are 3, 59, 83. Prime factorization of 44073 in exponential form is:

44073 = 32 × 591 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 44061 and 44073.

LCM(44061,44073) = 32 × 191 × 7731 × 591 × 831
LCM(44061,44073) = 647300151