What is the Least Common Multiple of 81645 and 81650?

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 81645 and 81650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81645 and 81650, than apply into the LCM equation.

GCF(81645,81650) = 5
LCM(81645,81650) = ( 81645 × 81650) / 5
LCM(81645,81650) = 6666314250 / 5
LCM(81645,81650) = 1333262850

Least Common Multiple (LCM) of 81645 and 81650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81645 and 81650. First we will calculate the prime factors of 81645 and 81650.

Prime Factorization of 81645

Prime Factorization of 81650

Now multiplying the highest exponent prime factors to calculate the LCM of 81645 and 81650.

LCM(81645,81650) = 3¹ × 5² × 5443¹ × 2¹ × 23¹ × 71¹
LCM(81645,81650) = 1333262850