What is the Least Common Multiple of 81805 and 81821?

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 81821 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 81821, than apply into the LCM equation.

GCF(81805,81821) = 1
LCM(81805,81821) = ( 81805 × 81821) / 1
LCM(81805,81821) = 6693366905 / 1
LCM(81805,81821) = 6693366905

Least Common Multiple (LCM) of 81805 and 81821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81805 and 81821. First we will calculate the prime factors of 81805 and 81821.

Prime Factorization of 81805

Prime Factorization of 81821

Now multiplying the highest exponent prime factors to calculate the LCM of 81805 and 81821.

LCM(81805,81821) = 5¹ × 16361¹ × 17¹ × 4813¹
LCM(81805,81821) = 6693366905