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What is the Least Common Multiple of 44837 and 44848?

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 44837 and 44848 is 2010849776.

LCM(44837,44848) = 2010849776

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Least Common Multiple of 44837 and 44848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44837 and 44848, than apply into the LCM equation.

GCF(44837,44848) = 1
LCM(44837,44848) = ( 44837 × 44848) / 1
LCM(44837,44848) = 2010849776 / 1
LCM(44837,44848) = 2010849776

Least Common Multiple (LCM) of 44837 and 44848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44837 and 44848. First we will calculate the prime factors of 44837 and 44848.

Prime Factorization of 44837

Prime factors of 44837 are 13, 3449. Prime factorization of 44837 in exponential form is:

44837 = 131 × 34491

Prime Factorization of 44848

Prime factors of 44848 are 2, 2803. Prime factorization of 44848 in exponential form is:

44848 = 24 × 28031

Now multiplying the highest exponent prime factors to calculate the LCM of 44837 and 44848.

LCM(44837,44848) = 131 × 34491 × 24 × 28031
LCM(44837,44848) = 2010849776