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What is the Least Common Multiple of 3731 and 3746?

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 3731 and 3746 is 13976326.

LCM(3731,3746) = 13976326

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Least Common Multiple of 3731 and 3746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3731 and 3746, than apply into the LCM equation.

GCF(3731,3746) = 1
LCM(3731,3746) = ( 3731 × 3746) / 1
LCM(3731,3746) = 13976326 / 1
LCM(3731,3746) = 13976326

Least Common Multiple (LCM) of 3731 and 3746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3731 and 3746. First we will calculate the prime factors of 3731 and 3746.

Prime Factorization of 3731

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

3731 = 71 × 131 × 411

Prime Factorization of 3746

Prime factors of 3746 are 2, 1873. Prime factorization of 3746 in exponential form is:

3746 = 21 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 3731 and 3746.

LCM(3731,3746) = 71 × 131 × 411 × 21 × 18731
LCM(3731,3746) = 13976326