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What is the Least Common Multiple of 44055 and 44069?

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 44055 and 44069 is 1941459795.

LCM(44055,44069) = 1941459795

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Least Common Multiple of 44055 and 44069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44055 and 44069, than apply into the LCM equation.

GCF(44055,44069) = 1
LCM(44055,44069) = ( 44055 × 44069) / 1
LCM(44055,44069) = 1941459795 / 1
LCM(44055,44069) = 1941459795

Least Common Multiple (LCM) of 44055 and 44069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44055 and 44069. First we will calculate the prime factors of 44055 and 44069.

Prime Factorization of 44055

Prime factors of 44055 are 3, 5, 11, 89. Prime factorization of 44055 in exponential form is:

44055 = 32 × 51 × 111 × 891

Prime Factorization of 44069

Prime factors of 44069 are 127, 347. Prime factorization of 44069 in exponential form is:

44069 = 1271 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 44055 and 44069.

LCM(44055,44069) = 32 × 51 × 111 × 891 × 1271 × 3471
LCM(44055,44069) = 1941459795