What is the Least Common Multiple of 21567 and 21582?

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 21567 and 21582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21567 and 21582, than apply into the LCM equation.

GCF(21567,21582) = 3
LCM(21567,21582) = ( 21567 × 21582) / 3
LCM(21567,21582) = 465458994 / 3
LCM(21567,21582) = 155152998

Least Common Multiple (LCM) of 21567 and 21582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21567 and 21582. First we will calculate the prime factors of 21567 and 21582.

Prime Factorization of 21567

Prime Factorization of 21582

Now multiplying the highest exponent prime factors to calculate the LCM of 21567 and 21582.

LCM(21567,21582) = 3² × 7¹ × 13¹ × 79¹ × 2¹ × 11¹ × 109¹
LCM(21567,21582) = 155152998