What is the Least Common Multiple of 81805 and 81822?

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 81805 and 81822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81805 and 81822, than apply into the LCM equation.

GCF(81805,81822) = 1
LCM(81805,81822) = ( 81805 × 81822) / 1
LCM(81805,81822) = 6693448710 / 1
LCM(81805,81822) = 6693448710

Least Common Multiple (LCM) of 81805 and 81822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81805 and 81822. First we will calculate the prime factors of 81805 and 81822.

Prime Factorization of 81805

Prime Factorization of 81822

Now multiplying the highest exponent prime factors to calculate the LCM of 81805 and 81822.

LCM(81805,81822) = 5¹ × 16361¹ × 2¹ × 3¹ × 13¹ × 1049¹
LCM(81805,81822) = 6693448710