What is the Least Common Multiple of 88580 and 88585?

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 88580 and 88585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88580 and 88585, than apply into the LCM equation.

GCF(88580,88585) = 5
LCM(88580,88585) = ( 88580 × 88585) / 5
LCM(88580,88585) = 7846859300 / 5
LCM(88580,88585) = 1569371860

Least Common Multiple (LCM) of 88580 and 88585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88580 and 88585. First we will calculate the prime factors of 88580 and 88585.

Prime Factorization of 88580

Prime Factorization of 88585

Now multiplying the highest exponent prime factors to calculate the LCM of 88580 and 88585.

LCM(88580,88585) = 2² × 5¹ × 43¹ × 103¹ × 7¹ × 2531¹
LCM(88580,88585) = 1569371860