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What is the Least Common Multiple of 44043 and 44054?

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 44043 and 44054 is 1940270322.

LCM(44043,44054) = 1940270322

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Least Common Multiple of 44043 and 44054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44043 and 44054, than apply into the LCM equation.

GCF(44043,44054) = 1
LCM(44043,44054) = ( 44043 × 44054) / 1
LCM(44043,44054) = 1940270322 / 1
LCM(44043,44054) = 1940270322

Least Common Multiple (LCM) of 44043 and 44054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44043 and 44054. First we will calculate the prime factors of 44043 and 44054.

Prime Factorization of 44043

Prime factors of 44043 are 3, 53, 277. Prime factorization of 44043 in exponential form is:

44043 = 31 × 531 × 2771

Prime Factorization of 44054

Prime factors of 44054 are 2, 22027. Prime factorization of 44054 in exponential form is:

44054 = 21 × 220271

Now multiplying the highest exponent prime factors to calculate the LCM of 44043 and 44054.

LCM(44043,44054) = 31 × 531 × 2771 × 21 × 220271
LCM(44043,44054) = 1940270322