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What is the Least Common Multiple of 3738 and 3756?

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 3738 and 3756 is 2339988.

LCM(3738,3756) = 2339988

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Least Common Multiple of 3738 and 3756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3738 and 3756, than apply into the LCM equation.

GCF(3738,3756) = 6
LCM(3738,3756) = ( 3738 × 3756) / 6
LCM(3738,3756) = 14039928 / 6
LCM(3738,3756) = 2339988

Least Common Multiple (LCM) of 3738 and 3756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3738 and 3756. First we will calculate the prime factors of 3738 and 3756.

Prime Factorization of 3738

Prime factors of 3738 are 2, 3, 7, 89. Prime factorization of 3738 in exponential form is:

3738 = 21 × 31 × 71 × 891

Prime Factorization of 3756

Prime factors of 3756 are 2, 3, 313. Prime factorization of 3756 in exponential form is:

3756 = 22 × 31 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 3738 and 3756.

LCM(3738,3756) = 22 × 31 × 71 × 891 × 3131
LCM(3738,3756) = 2339988