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What is the Least Common Multiple of 44380 and 44391?

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 44380 and 44391 is 1970072580.

LCM(44380,44391) = 1970072580

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Least Common Multiple of 44380 and 44391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44380 and 44391, than apply into the LCM equation.

GCF(44380,44391) = 1
LCM(44380,44391) = ( 44380 × 44391) / 1
LCM(44380,44391) = 1970072580 / 1
LCM(44380,44391) = 1970072580

Least Common Multiple (LCM) of 44380 and 44391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44380 and 44391. First we will calculate the prime factors of 44380 and 44391.

Prime Factorization of 44380

Prime factors of 44380 are 2, 5, 7, 317. Prime factorization of 44380 in exponential form is:

44380 = 22 × 51 × 71 × 3171

Prime Factorization of 44391

Prime factors of 44391 are 3, 14797. Prime factorization of 44391 in exponential form is:

44391 = 31 × 147971

Now multiplying the highest exponent prime factors to calculate the LCM of 44380 and 44391.

LCM(44380,44391) = 22 × 51 × 71 × 3171 × 31 × 147971
LCM(44380,44391) = 1970072580