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What is the Least Common Multiple of 3726 and 3731?

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 3726 and 3731 is 13901706.

LCM(3726,3731) = 13901706

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Least Common Multiple of 3726 and 3731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3726 and 3731, than apply into the LCM equation.

GCF(3726,3731) = 1
LCM(3726,3731) = ( 3726 × 3731) / 1
LCM(3726,3731) = 13901706 / 1
LCM(3726,3731) = 13901706

Least Common Multiple (LCM) of 3726 and 3731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3726 and 3731. First we will calculate the prime factors of 3726 and 3731.

Prime Factorization of 3726

Prime factors of 3726 are 2, 3, 23. Prime factorization of 3726 in exponential form is:

3726 = 21 × 34 × 231

Prime Factorization of 3731

Prime factors of 3731 are 7, 13, 41. Prime factorization of 3731 in exponential form is:

3731 = 71 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3726 and 3731.

LCM(3726,3731) = 21 × 34 × 231 × 71 × 131 × 411
LCM(3726,3731) = 13901706