What is the Least Common Multiple of 3770 and 3784?

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 3770 and 3784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3770 and 3784, than apply into the LCM equation.

GCF(3770,3784) = 2
LCM(3770,3784) = ( 3770 × 3784) / 2
LCM(3770,3784) = 14265680 / 2
LCM(3770,3784) = 7132840

Least Common Multiple (LCM) of 3770 and 3784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3770 and 3784. First we will calculate the prime factors of 3770 and 3784.

Prime Factorization of 3770

Prime Factorization of 3784

Now multiplying the highest exponent prime factors to calculate the LCM of 3770 and 3784.

LCM(3770,3784) = 2³ × 5¹ × 13¹ × 29¹ × 11¹ × 43¹
LCM(3770,3784) = 7132840