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What is the Least Common Multiple of 44844 and 44850?

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 44844 and 44850 is 335208900.

LCM(44844,44850) = 335208900

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Least Common Multiple of 44844 and 44850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44844 and 44850, than apply into the LCM equation.

GCF(44844,44850) = 6
LCM(44844,44850) = ( 44844 × 44850) / 6
LCM(44844,44850) = 2011253400 / 6
LCM(44844,44850) = 335208900

Least Common Multiple (LCM) of 44844 and 44850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44844 and 44850. First we will calculate the prime factors of 44844 and 44850.

Prime Factorization of 44844

Prime factors of 44844 are 2, 3, 37, 101. Prime factorization of 44844 in exponential form is:

44844 = 22 × 31 × 371 × 1011

Prime Factorization of 44850

Prime factors of 44850 are 2, 3, 5, 13, 23. Prime factorization of 44850 in exponential form is:

44850 = 21 × 31 × 52 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 44844 and 44850.

LCM(44844,44850) = 22 × 31 × 371 × 1011 × 52 × 131 × 231
LCM(44844,44850) = 335208900