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What is the Least Common Multiple of 44272 and 44287?

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 44272 and 44287 is 1960674064.

LCM(44272,44287) = 1960674064

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Least Common Multiple of 44272 and 44287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44272 and 44287, than apply into the LCM equation.

GCF(44272,44287) = 1
LCM(44272,44287) = ( 44272 × 44287) / 1
LCM(44272,44287) = 1960674064 / 1
LCM(44272,44287) = 1960674064

Least Common Multiple (LCM) of 44272 and 44287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44272 and 44287. First we will calculate the prime factors of 44272 and 44287.

Prime Factorization of 44272

Prime factors of 44272 are 2, 2767. Prime factorization of 44272 in exponential form is:

44272 = 24 × 27671

Prime Factorization of 44287

Prime factors of 44287 are 67, 661. Prime factorization of 44287 in exponential form is:

44287 = 671 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 44272 and 44287.

LCM(44272,44287) = 24 × 27671 × 671 × 6611
LCM(44272,44287) = 1960674064