What is the Least Common Multiple of 3738 and 3752?

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 3738 and 3752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3738 and 3752, than apply into the LCM equation.

GCF(3738,3752) = 14
LCM(3738,3752) = ( 3738 × 3752) / 14
LCM(3738,3752) = 14024976 / 14
LCM(3738,3752) = 1001784

Least Common Multiple (LCM) of 3738 and 3752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3738 and 3752. First we will calculate the prime factors of 3738 and 3752.

Prime Factorization of 3738

Prime Factorization of 3752

Now multiplying the highest exponent prime factors to calculate the LCM of 3738 and 3752.

LCM(3738,3752) = 2³ × 3¹ × 7¹ × 89¹ × 67¹
LCM(3738,3752) = 1001784