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What is the Least Common Multiple of 3745 and 3763?

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 3763 is 14092435.

LCM(3745,3763) = 14092435

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Least Common Multiple of 3745 and 3763 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 3763, than apply into the LCM equation.

GCF(3745,3763) = 1
LCM(3745,3763) = ( 3745 × 3763) / 1
LCM(3745,3763) = 14092435 / 1
LCM(3745,3763) = 14092435

Least Common Multiple (LCM) of 3745 and 3763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3745 and 3763. First we will calculate the prime factors of 3745 and 3763.

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 3763

Prime factors of 3763 are 53, 71. Prime factorization of 3763 in exponential form is:

3763 = 531 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3745 and 3763.

LCM(3745,3763) = 51 × 71 × 1071 × 531 × 711
LCM(3745,3763) = 14092435