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What is the Least Common Multiple of 44782 and 44786?

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 44782 and 44786 is 1002803326.

LCM(44782,44786) = 1002803326

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Least Common Multiple of 44782 and 44786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44782 and 44786, than apply into the LCM equation.

GCF(44782,44786) = 2
LCM(44782,44786) = ( 44782 × 44786) / 2
LCM(44782,44786) = 2005606652 / 2
LCM(44782,44786) = 1002803326

Least Common Multiple (LCM) of 44782 and 44786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44782 and 44786. First we will calculate the prime factors of 44782 and 44786.

Prime Factorization of 44782

Prime factors of 44782 are 2, 22391. Prime factorization of 44782 in exponential form is:

44782 = 21 × 223911

Prime Factorization of 44786

Prime factors of 44786 are 2, 7, 457. Prime factorization of 44786 in exponential form is:

44786 = 21 × 72 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 44782 and 44786.

LCM(44782,44786) = 21 × 223911 × 72 × 4571
LCM(44782,44786) = 1002803326