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What is the Least Common Multiple of 44227 and 44231?

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 44227 and 44231 is 1956204437.

LCM(44227,44231) = 1956204437

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Least Common Multiple of 44227 and 44231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44227 and 44231, than apply into the LCM equation.

GCF(44227,44231) = 1
LCM(44227,44231) = ( 44227 × 44231) / 1
LCM(44227,44231) = 1956204437 / 1
LCM(44227,44231) = 1956204437

Least Common Multiple (LCM) of 44227 and 44231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44227 and 44231. First we will calculate the prime factors of 44227 and 44231.

Prime Factorization of 44227

Prime factors of 44227 are 47, 941. Prime factorization of 44227 in exponential form is:

44227 = 471 × 9411

Prime Factorization of 44231

Prime factors of 44231 are 11, 4021. Prime factorization of 44231 in exponential form is:

44231 = 111 × 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 44227 and 44231.

LCM(44227,44231) = 471 × 9411 × 111 × 40211
LCM(44227,44231) = 1956204437