What is the Least Common Multiple of 3782 and 3796?

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 3782 and 3796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3782 and 3796, than apply into the LCM equation.

GCF(3782,3796) = 2
LCM(3782,3796) = ( 3782 × 3796) / 2
LCM(3782,3796) = 14356472 / 2
LCM(3782,3796) = 7178236

Least Common Multiple (LCM) of 3782 and 3796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3782 and 3796. First we will calculate the prime factors of 3782 and 3796.

Prime Factorization of 3782

Prime Factorization of 3796

Now multiplying the highest exponent prime factors to calculate the LCM of 3782 and 3796.

LCM(3782,3796) = 2² × 31¹ × 61¹ × 13¹ × 73¹
LCM(3782,3796) = 7178236