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What is the Least Common Multiple of 3724 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 3724 and 3731 is 1984892.

LCM(3724,3731) = 1984892

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Least Common Multiple of 3724 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 3724 and 3731, than apply into the LCM equation.

GCF(3724,3731) = 7
LCM(3724,3731) = ( 3724 × 3731) / 7
LCM(3724,3731) = 13894244 / 7
LCM(3724,3731) = 1984892

Least Common Multiple (LCM) of 3724 and 3731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3724 and 3731. First we will calculate the prime factors of 3724 and 3731.

Prime Factorization of 3724

Prime factors of 3724 are 2, 7, 19. Prime factorization of 3724 in exponential form is:

3724 = 22 × 72 × 191

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 3724 and 3731.

LCM(3724,3731) = 22 × 72 × 191 × 131 × 411
LCM(3724,3731) = 1984892