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What is the Least Common Multiple of 3755 and 3766?

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 3755 and 3766 is 14141330.

LCM(3755,3766) = 14141330

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Least Common Multiple of 3755 and 3766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3755 and 3766, than apply into the LCM equation.

GCF(3755,3766) = 1
LCM(3755,3766) = ( 3755 × 3766) / 1
LCM(3755,3766) = 14141330 / 1
LCM(3755,3766) = 14141330

Least Common Multiple (LCM) of 3755 and 3766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3755 and 3766. First we will calculate the prime factors of 3755 and 3766.

Prime Factorization of 3755

Prime factors of 3755 are 5, 751. Prime factorization of 3755 in exponential form is:

3755 = 51 × 7511

Prime Factorization of 3766

Prime factors of 3766 are 2, 7, 269. Prime factorization of 3766 in exponential form is:

3766 = 21 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 3755 and 3766.

LCM(3755,3766) = 51 × 7511 × 21 × 71 × 2691
LCM(3755,3766) = 14141330