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What is the Least Common Multiple of 44842 and 44846?

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 44842 and 44846 is 1005492166.

LCM(44842,44846) = 1005492166

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Least Common Multiple of 44842 and 44846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44842 and 44846, than apply into the LCM equation.

GCF(44842,44846) = 2
LCM(44842,44846) = ( 44842 × 44846) / 2
LCM(44842,44846) = 2010984332 / 2
LCM(44842,44846) = 1005492166

Least Common Multiple (LCM) of 44842 and 44846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44842 and 44846. First we will calculate the prime factors of 44842 and 44846.

Prime Factorization of 44842

Prime factors of 44842 are 2, 7, 3203. Prime factorization of 44842 in exponential form is:

44842 = 21 × 71 × 32031

Prime Factorization of 44846

Prime factors of 44846 are 2, 17, 1319. Prime factorization of 44846 in exponential form is:

44846 = 21 × 171 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 44842 and 44846.

LCM(44842,44846) = 21 × 71 × 32031 × 171 × 13191
LCM(44842,44846) = 1005492166