GCF and LCM Calculator Logo

What is the Least Common Multiple of 3723 and 3733?

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 3733 is 13897959.

LCM(3723,3733) = 13897959

LCM Calculator and
and

Least Common Multiple of 3723 and 3733 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 3733, than apply into the LCM equation.

GCF(3723,3733) = 1
LCM(3723,3733) = ( 3723 × 3733) / 1
LCM(3723,3733) = 13897959 / 1
LCM(3723,3733) = 13897959

Least Common Multiple (LCM) of 3723 and 3733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3733. First we will calculate the prime factors of 3723 and 3733.

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 3733

Prime factors of 3733 are 3733. Prime factorization of 3733 in exponential form is:

3733 = 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3733.

LCM(3723,3733) = 31 × 171 × 731 × 37331
LCM(3723,3733) = 13897959