What is the Least Common Multiple of 3735 and 3744?

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 3735 and 3744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3735 and 3744, than apply into the LCM equation.

GCF(3735,3744) = 9
LCM(3735,3744) = ( 3735 × 3744) / 9
LCM(3735,3744) = 13983840 / 9
LCM(3735,3744) = 1553760

Least Common Multiple (LCM) of 3735 and 3744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3735 and 3744. First we will calculate the prime factors of 3735 and 3744.

Prime Factorization of 3735

Prime Factorization of 3744

Now multiplying the highest exponent prime factors to calculate the LCM of 3735 and 3744.

LCM(3735,3744) = 3² × 5¹ × 83¹ × 2⁵ × 13¹
LCM(3735,3744) = 1553760