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What is the Least Common Multiple of 44004 and 44023?

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 44004 and 44023 is 101957268.

LCM(44004,44023) = 101957268

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Least Common Multiple of 44004 and 44023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44004 and 44023, than apply into the LCM equation.

GCF(44004,44023) = 19
LCM(44004,44023) = ( 44004 × 44023) / 19
LCM(44004,44023) = 1937188092 / 19
LCM(44004,44023) = 101957268

Least Common Multiple (LCM) of 44004 and 44023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44004 and 44023. First we will calculate the prime factors of 44004 and 44023.

Prime Factorization of 44004

Prime factors of 44004 are 2, 3, 19, 193. Prime factorization of 44004 in exponential form is:

44004 = 22 × 31 × 191 × 1931

Prime Factorization of 44023

Prime factors of 44023 are 7, 19, 331. Prime factorization of 44023 in exponential form is:

44023 = 71 × 191 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 44004 and 44023.

LCM(44004,44023) = 22 × 31 × 191 × 1931 × 71 × 3311
LCM(44004,44023) = 101957268