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What is the Least Common Multiple of 44461 and 44481?

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 44461 and 44481 is 1977669741.

LCM(44461,44481) = 1977669741

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Least Common Multiple of 44461 and 44481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44461 and 44481, than apply into the LCM equation.

GCF(44461,44481) = 1
LCM(44461,44481) = ( 44461 × 44481) / 1
LCM(44461,44481) = 1977669741 / 1
LCM(44461,44481) = 1977669741

Least Common Multiple (LCM) of 44461 and 44481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44461 and 44481. First we will calculate the prime factors of 44461 and 44481.

Prime Factorization of 44461

Prime factors of 44461 are 173, 257. Prime factorization of 44461 in exponential form is:

44461 = 1731 × 2571

Prime Factorization of 44481

Prime factors of 44481 are 3, 14827. Prime factorization of 44481 in exponential form is:

44481 = 31 × 148271

Now multiplying the highest exponent prime factors to calculate the LCM of 44461 and 44481.

LCM(44461,44481) = 1731 × 2571 × 31 × 148271
LCM(44461,44481) = 1977669741