What is the Least Common Multiple of 15570 and 15585?

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 15570 and 15585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15570 and 15585, than apply into the LCM equation.

GCF(15570,15585) = 15
LCM(15570,15585) = ( 15570 × 15585) / 15
LCM(15570,15585) = 242658450 / 15
LCM(15570,15585) = 16177230

Least Common Multiple (LCM) of 15570 and 15585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15570 and 15585. First we will calculate the prime factors of 15570 and 15585.

Prime Factorization of 15570

Prime Factorization of 15585

Now multiplying the highest exponent prime factors to calculate the LCM of 15570 and 15585.

LCM(15570,15585) = 2¹ × 3² × 5¹ × 173¹ × 1039¹
LCM(15570,15585) = 16177230