What is the Least Common Multiple of 65580 and 65585?

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 65580 and 65585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65580 and 65585, than apply into the LCM equation.

GCF(65580,65585) = 5
LCM(65580,65585) = ( 65580 × 65585) / 5
LCM(65580,65585) = 4301064300 / 5
LCM(65580,65585) = 860212860

Least Common Multiple (LCM) of 65580 and 65585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65580 and 65585. First we will calculate the prime factors of 65580 and 65585.

Prime Factorization of 65580

Prime Factorization of 65585

Now multiplying the highest exponent prime factors to calculate the LCM of 65580 and 65585.

LCM(65580,65585) = 2² × 3¹ × 5¹ × 1093¹ × 13¹ × 1009¹
LCM(65580,65585) = 860212860