What is the Least Common Multiple of 1782 and 1796?

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 1782 and 1796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1782 and 1796, than apply into the LCM equation.

GCF(1782,1796) = 2
LCM(1782,1796) = ( 1782 × 1796) / 2
LCM(1782,1796) = 3200472 / 2
LCM(1782,1796) = 1600236

Least Common Multiple (LCM) of 1782 and 1796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1782 and 1796. First we will calculate the prime factors of 1782 and 1796.

Prime Factorization of 1782

Prime Factorization of 1796

Now multiplying the highest exponent prime factors to calculate the LCM of 1782 and 1796.

LCM(1782,1796) = 2² × 3⁴ × 11¹ × 449¹
LCM(1782,1796) = 1600236