What is the Least Common Multiple of 3693 and 3711?

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 of 3693 and 3711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3693 and 3711, than apply into the LCM equation.

GCF(3693,3711) = 3
LCM(3693,3711) = ( 3693 × 3711) / 3
LCM(3693,3711) = 13704723 / 3
LCM(3693,3711) = 4568241

Least Common Multiple (LCM) of 3693 and 3711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3693 and 3711. First we will calculate the prime factors of 3693 and 3711.

Prime Factorization of 3693

Prime Factorization of 3711

Now multiplying the highest exponent prime factors to calculate the LCM of 3693 and 3711.

LCM(3693,3711) = 3¹ × 1231¹ × 1237¹
LCM(3693,3711) = 4568241