What is the Least Common Multiple of 3723 and 3740?

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 3723 and 3740 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 3740, than apply into the LCM equation.

GCF(3723,3740) = 17
LCM(3723,3740) = ( 3723 × 3740) / 17
LCM(3723,3740) = 13924020 / 17
LCM(3723,3740) = 819060

Least Common Multiple (LCM) of 3723 and 3740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3723 and 3740. First we will calculate the prime factors of 3723 and 3740.

Prime Factorization of 3723

Prime Factorization of 3740

Now multiplying the highest exponent prime factors to calculate the LCM of 3723 and 3740.

LCM(3723,3740) = 3¹ × 17¹ × 73¹ × 2² × 5¹ × 11¹
LCM(3723,3740) = 819060