What is the Least Common Multiple of 81805 and 81823?

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 81823 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 81823, than apply into the LCM equation.

GCF(81805,81823) = 1
LCM(81805,81823) = ( 81805 × 81823) / 1
LCM(81805,81823) = 6693530515 / 1
LCM(81805,81823) = 6693530515

Least Common Multiple (LCM) of 81805 and 81823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81805 and 81823. First we will calculate the prime factors of 81805 and 81823.

Prime Factorization of 81805

Prime Factorization of 81823

Now multiplying the highest exponent prime factors to calculate the LCM of 81805 and 81823.

LCM(81805,81823) = 5¹ × 16361¹ × 7¹ × 11689¹
LCM(81805,81823) = 6693530515