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What is the Least Common Multiple of 44752 and 44759?

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 44752 and 44759 is 2003054768.

LCM(44752,44759) = 2003054768

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Least Common Multiple of 44752 and 44759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44752 and 44759, than apply into the LCM equation.

GCF(44752,44759) = 1
LCM(44752,44759) = ( 44752 × 44759) / 1
LCM(44752,44759) = 2003054768 / 1
LCM(44752,44759) = 2003054768

Least Common Multiple (LCM) of 44752 and 44759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44752 and 44759. First we will calculate the prime factors of 44752 and 44759.

Prime Factorization of 44752

Prime factors of 44752 are 2, 2797. Prime factorization of 44752 in exponential form is:

44752 = 24 × 27971

Prime Factorization of 44759

Prime factors of 44759 are 11, 13, 313. Prime factorization of 44759 in exponential form is:

44759 = 111 × 131 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 44752 and 44759.

LCM(44752,44759) = 24 × 27971 × 111 × 131 × 3131
LCM(44752,44759) = 2003054768