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What is the Least Common Multiple of 44090 and 44107?

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 44090 and 44107 is 1944677630.

LCM(44090,44107) = 1944677630

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Least Common Multiple of 44090 and 44107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44090 and 44107, than apply into the LCM equation.

GCF(44090,44107) = 1
LCM(44090,44107) = ( 44090 × 44107) / 1
LCM(44090,44107) = 1944677630 / 1
LCM(44090,44107) = 1944677630

Least Common Multiple (LCM) of 44090 and 44107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44090 and 44107. First we will calculate the prime factors of 44090 and 44107.

Prime Factorization of 44090

Prime factors of 44090 are 2, 5, 4409. Prime factorization of 44090 in exponential form is:

44090 = 21 × 51 × 44091

Prime Factorization of 44107

Prime factors of 44107 are 7, 6301. Prime factorization of 44107 in exponential form is:

44107 = 71 × 63011

Now multiplying the highest exponent prime factors to calculate the LCM of 44090 and 44107.

LCM(44090,44107) = 21 × 51 × 44091 × 71 × 63011
LCM(44090,44107) = 1944677630