GCF and LCM Calculator Logo

What is the Least Common Multiple of 3723 and 3742?

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 3723 and 3742 is 13931466.

LCM(3723,3742) = 13931466

LCM Calculator and
and

Least Common Multiple of 3723 and 3742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3723 and 3742, than apply into the LCM equation.

GCF(3723,3742) = 1
LCM(3723,3742) = ( 3723 × 3742) / 1
LCM(3723,3742) = 13931466 / 1
LCM(3723,3742) = 13931466

Least Common Multiple (LCM) of 3723 and 3742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3742. First we will calculate the prime factors of 3723 and 3742.

Prime Factorization of 3723

Prime factors of 3723 are 3, 17, 73. Prime factorization of 3723 in exponential form is:

3723 = 31 × 171 × 731

Prime Factorization of 3742

Prime factors of 3742 are 2, 1871. Prime factorization of 3742 in exponential form is:

3742 = 21 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3742.

LCM(3723,3742) = 31 × 171 × 731 × 21 × 18711
LCM(3723,3742) = 13931466