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What is the Least Common Multiple of 44888 and 44901?

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 44888 and 44901 is 2015516088.

LCM(44888,44901) = 2015516088

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Least Common Multiple of 44888 and 44901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44888 and 44901, than apply into the LCM equation.

GCF(44888,44901) = 1
LCM(44888,44901) = ( 44888 × 44901) / 1
LCM(44888,44901) = 2015516088 / 1
LCM(44888,44901) = 2015516088

Least Common Multiple (LCM) of 44888 and 44901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44888 and 44901. First we will calculate the prime factors of 44888 and 44901.

Prime Factorization of 44888

Prime factors of 44888 are 2, 31, 181. Prime factorization of 44888 in exponential form is:

44888 = 23 × 311 × 1811

Prime Factorization of 44901

Prime factors of 44901 are 3, 1663. Prime factorization of 44901 in exponential form is:

44901 = 33 × 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 44888 and 44901.

LCM(44888,44901) = 23 × 311 × 1811 × 33 × 16631
LCM(44888,44901) = 2015516088