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What is the Least Common Multiple of 44479 and 44494?

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 44479 and 44494 is 1979048626.

LCM(44479,44494) = 1979048626

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Least Common Multiple of 44479 and 44494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44479 and 44494, than apply into the LCM equation.

GCF(44479,44494) = 1
LCM(44479,44494) = ( 44479 × 44494) / 1
LCM(44479,44494) = 1979048626 / 1
LCM(44479,44494) = 1979048626

Least Common Multiple (LCM) of 44479 and 44494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44479 and 44494. First we will calculate the prime factors of 44479 and 44494.

Prime Factorization of 44479

Prime factors of 44479 are 19, 2341. Prime factorization of 44479 in exponential form is:

44479 = 191 × 23411

Prime Factorization of 44494

Prime factors of 44494 are 2, 22247. Prime factorization of 44494 in exponential form is:

44494 = 21 × 222471

Now multiplying the highest exponent prime factors to calculate the LCM of 44479 and 44494.

LCM(44479,44494) = 191 × 23411 × 21 × 222471
LCM(44479,44494) = 1979048626