What is the Least Common Multiple of 15564 and 15582?

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 15564 and 15582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15564 and 15582, than apply into the LCM equation.

GCF(15564,15582) = 6
LCM(15564,15582) = ( 15564 × 15582) / 6
LCM(15564,15582) = 242518248 / 6
LCM(15564,15582) = 40419708

Least Common Multiple (LCM) of 15564 and 15582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15564 and 15582. First we will calculate the prime factors of 15564 and 15582.

Prime Factorization of 15564

Prime Factorization of 15582

Now multiplying the highest exponent prime factors to calculate the LCM of 15564 and 15582.

LCM(15564,15582) = 2² × 3¹ × 1297¹ × 7² × 53¹
LCM(15564,15582) = 40419708