What is the Least Common Multiple of 78570 and 78585?

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 78570 and 78585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78570 and 78585, than apply into the LCM equation.

GCF(78570,78585) = 15
LCM(78570,78585) = ( 78570 × 78585) / 15
LCM(78570,78585) = 6174423450 / 15
LCM(78570,78585) = 411628230

Least Common Multiple (LCM) of 78570 and 78585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78570 and 78585. First we will calculate the prime factors of 78570 and 78585.

Prime Factorization of 78570

Prime Factorization of 78585

Now multiplying the highest exponent prime factors to calculate the LCM of 78570 and 78585.

LCM(78570,78585) = 2¹ × 3⁴ × 5¹ × 97¹ × 13² × 31¹
LCM(78570,78585) = 411628230