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What is the Least Common Multiple of 3713 and 3717?

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 3713 and 3717 is 13801221.

LCM(3713,3717) = 13801221

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Least Common Multiple of 3713 and 3717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3713 and 3717, than apply into the LCM equation.

GCF(3713,3717) = 1
LCM(3713,3717) = ( 3713 × 3717) / 1
LCM(3713,3717) = 13801221 / 1
LCM(3713,3717) = 13801221

Least Common Multiple (LCM) of 3713 and 3717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3713 and 3717. First we will calculate the prime factors of 3713 and 3717.

Prime Factorization of 3713

Prime factors of 3713 are 47, 79. Prime factorization of 3713 in exponential form is:

3713 = 471 × 791

Prime Factorization of 3717

Prime factors of 3717 are 3, 7, 59. Prime factorization of 3717 in exponential form is:

3717 = 32 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 3713 and 3717.

LCM(3713,3717) = 471 × 791 × 32 × 71 × 591
LCM(3713,3717) = 13801221