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What is the Least Common Multiple of 44211 and 44228?

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 44211 and 44228 is 1955364108.

LCM(44211,44228) = 1955364108

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Least Common Multiple of 44211 and 44228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44211 and 44228, than apply into the LCM equation.

GCF(44211,44228) = 1
LCM(44211,44228) = ( 44211 × 44228) / 1
LCM(44211,44228) = 1955364108 / 1
LCM(44211,44228) = 1955364108

Least Common Multiple (LCM) of 44211 and 44228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44211 and 44228. First we will calculate the prime factors of 44211 and 44228.

Prime Factorization of 44211

Prime factors of 44211 are 3, 14737. Prime factorization of 44211 in exponential form is:

44211 = 31 × 147371

Prime Factorization of 44228

Prime factors of 44228 are 2, 11057. Prime factorization of 44228 in exponential form is:

44228 = 22 × 110571

Now multiplying the highest exponent prime factors to calculate the LCM of 44211 and 44228.

LCM(44211,44228) = 31 × 147371 × 22 × 110571
LCM(44211,44228) = 1955364108