What is the Least Common Multiple of 3709 and 3728?

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 3709 and 3728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3709 and 3728, than apply into the LCM equation.

GCF(3709,3728) = 1
LCM(3709,3728) = ( 3709 × 3728) / 1
LCM(3709,3728) = 13827152 / 1
LCM(3709,3728) = 13827152

Least Common Multiple (LCM) of 3709 and 3728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3709 and 3728. First we will calculate the prime factors of 3709 and 3728.

Prime Factorization of 3709

Prime Factorization of 3728

Now multiplying the highest exponent prime factors to calculate the LCM of 3709 and 3728.

LCM(3709,3728) = 3709¹ × 2⁴ × 233¹
LCM(3709,3728) = 13827152