What is the Least Common Multiple of 81567 and 81582?

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 81567 and 81582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81567 and 81582, than apply into the LCM equation.

GCF(81567,81582) = 3
LCM(81567,81582) = ( 81567 × 81582) / 3
LCM(81567,81582) = 6654398994 / 3
LCM(81567,81582) = 2218132998

Least Common Multiple (LCM) of 81567 and 81582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81567 and 81582. First we will calculate the prime factors of 81567 and 81582.

Prime Factorization of 81567

Prime Factorization of 81582

Now multiplying the highest exponent prime factors to calculate the LCM of 81567 and 81582.

LCM(81567,81582) = 3⁴ × 19¹ × 53¹ × 2¹ × 13597¹
LCM(81567,81582) = 2218132998