What is the Least Common Multiple of 3729 and 3734?

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 3729 and 3734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3729 and 3734, than apply into the LCM equation.

GCF(3729,3734) = 1
LCM(3729,3734) = ( 3729 × 3734) / 1
LCM(3729,3734) = 13924086 / 1
LCM(3729,3734) = 13924086

Least Common Multiple (LCM) of 3729 and 3734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3729 and 3734. First we will calculate the prime factors of 3729 and 3734.

Prime Factorization of 3729

Prime Factorization of 3734

Now multiplying the highest exponent prime factors to calculate the LCM of 3729 and 3734.

LCM(3729,3734) = 3¹ × 11¹ × 113¹ × 2¹ × 1867¹
LCM(3729,3734) = 13924086