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What is the Least Common Multiple of 44904 and 44924?

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 44904 and 44924 is 504316824.

LCM(44904,44924) = 504316824

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Least Common Multiple of 44904 and 44924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44904 and 44924, than apply into the LCM equation.

GCF(44904,44924) = 4
LCM(44904,44924) = ( 44904 × 44924) / 4
LCM(44904,44924) = 2017267296 / 4
LCM(44904,44924) = 504316824

Least Common Multiple (LCM) of 44904 and 44924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44904 and 44924. First we will calculate the prime factors of 44904 and 44924.

Prime Factorization of 44904

Prime factors of 44904 are 2, 3, 1871. Prime factorization of 44904 in exponential form is:

44904 = 23 × 31 × 18711

Prime Factorization of 44924

Prime factors of 44924 are 2, 11, 1021. Prime factorization of 44924 in exponential form is:

44924 = 22 × 111 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 44904 and 44924.

LCM(44904,44924) = 23 × 31 × 18711 × 111 × 10211
LCM(44904,44924) = 504316824