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What is the Least Common Multiple of 3711 and 3722?

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 3711 and 3722 is 13812342.

LCM(3711,3722) = 13812342

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Least Common Multiple of 3711 and 3722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3711 and 3722, than apply into the LCM equation.

GCF(3711,3722) = 1
LCM(3711,3722) = ( 3711 × 3722) / 1
LCM(3711,3722) = 13812342 / 1
LCM(3711,3722) = 13812342

Least Common Multiple (LCM) of 3711 and 3722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3711 and 3722. First we will calculate the prime factors of 3711 and 3722.

Prime Factorization of 3711

Prime factors of 3711 are 3, 1237. Prime factorization of 3711 in exponential form is:

3711 = 31 × 12371

Prime Factorization of 3722

Prime factors of 3722 are 2, 1861. Prime factorization of 3722 in exponential form is:

3722 = 21 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 3711 and 3722.

LCM(3711,3722) = 31 × 12371 × 21 × 18611
LCM(3711,3722) = 13812342