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What is the Least Common Multiple of 44806 and 44813?

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 44806 and 44813 is 2007891278.

LCM(44806,44813) = 2007891278

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Least Common Multiple of 44806 and 44813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44806 and 44813, than apply into the LCM equation.

GCF(44806,44813) = 1
LCM(44806,44813) = ( 44806 × 44813) / 1
LCM(44806,44813) = 2007891278 / 1
LCM(44806,44813) = 2007891278

Least Common Multiple (LCM) of 44806 and 44813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44806 and 44813. First we will calculate the prime factors of 44806 and 44813.

Prime Factorization of 44806

Prime factors of 44806 are 2, 43, 521. Prime factorization of 44806 in exponential form is:

44806 = 21 × 431 × 5211

Prime Factorization of 44813

Prime factors of 44813 are 41, 1093. Prime factorization of 44813 in exponential form is:

44813 = 411 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 44806 and 44813.

LCM(44806,44813) = 21 × 431 × 5211 × 411 × 10931
LCM(44806,44813) = 2007891278