What is the Least Common Multiple of 3735 and 3746?

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 3746 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 3746, than apply into the LCM equation.

GCF(3735,3746) = 1
LCM(3735,3746) = ( 3735 × 3746) / 1
LCM(3735,3746) = 13991310 / 1
LCM(3735,3746) = 13991310

Least Common Multiple (LCM) of 3735 and 3746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3735 and 3746. First we will calculate the prime factors of 3735 and 3746.

Prime Factorization of 3735

Prime Factorization of 3746

Now multiplying the highest exponent prime factors to calculate the LCM of 3735 and 3746.

LCM(3735,3746) = 3² × 5¹ × 83¹ × 2¹ × 1873¹
LCM(3735,3746) = 13991310