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What is the Least Common Multiple of 44216 and 44227?

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 44216 and 44227 is 1955541032.

LCM(44216,44227) = 1955541032

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Least Common Multiple of 44216 and 44227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44216 and 44227, than apply into the LCM equation.

GCF(44216,44227) = 1
LCM(44216,44227) = ( 44216 × 44227) / 1
LCM(44216,44227) = 1955541032 / 1
LCM(44216,44227) = 1955541032

Least Common Multiple (LCM) of 44216 and 44227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44216 and 44227. First we will calculate the prime factors of 44216 and 44227.

Prime Factorization of 44216

Prime factors of 44216 are 2, 5527. Prime factorization of 44216 in exponential form is:

44216 = 23 × 55271

Prime Factorization of 44227

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

44227 = 471 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 44216 and 44227.

LCM(44216,44227) = 23 × 55271 × 471 × 9411
LCM(44216,44227) = 1955541032