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What is the Least Common Multiple of 3761 and 3774?

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 3761 and 3774 is 14194014.

LCM(3761,3774) = 14194014

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Least Common Multiple of 3761 and 3774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3761 and 3774, than apply into the LCM equation.

GCF(3761,3774) = 1
LCM(3761,3774) = ( 3761 × 3774) / 1
LCM(3761,3774) = 14194014 / 1
LCM(3761,3774) = 14194014

Least Common Multiple (LCM) of 3761 and 3774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3761 and 3774. First we will calculate the prime factors of 3761 and 3774.

Prime Factorization of 3761

Prime factors of 3761 are 3761. Prime factorization of 3761 in exponential form is:

3761 = 37611

Prime Factorization of 3774

Prime factors of 3774 are 2, 3, 17, 37. Prime factorization of 3774 in exponential form is:

3774 = 21 × 31 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 3761 and 3774.

LCM(3761,3774) = 37611 × 21 × 31 × 171 × 371
LCM(3761,3774) = 14194014