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What is the Least Common Multiple of 3745 and 3759?

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 3745 and 3759 is 2011065.

LCM(3745,3759) = 2011065

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Least Common Multiple of 3745 and 3759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3745 and 3759, than apply into the LCM equation.

GCF(3745,3759) = 7
LCM(3745,3759) = ( 3745 × 3759) / 7
LCM(3745,3759) = 14077455 / 7
LCM(3745,3759) = 2011065

Least Common Multiple (LCM) of 3745 and 3759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3745 and 3759. First we will calculate the prime factors of 3745 and 3759.

Prime Factorization of 3745

Prime factors of 3745 are 5, 7, 107. Prime factorization of 3745 in exponential form is:

3745 = 51 × 71 × 1071

Prime Factorization of 3759

Prime factors of 3759 are 3, 7, 179. Prime factorization of 3759 in exponential form is:

3759 = 31 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3745 and 3759.

LCM(3745,3759) = 51 × 71 × 1071 × 31 × 1791
LCM(3745,3759) = 2011065