What is the Least Common Multiple of 65585 and 65596?

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 65585 and 65596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65585 and 65596, than apply into the LCM equation.

GCF(65585,65596) = 1
LCM(65585,65596) = ( 65585 × 65596) / 1
LCM(65585,65596) = 4302113660 / 1
LCM(65585,65596) = 4302113660

Least Common Multiple (LCM) of 65585 and 65596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65585 and 65596. First we will calculate the prime factors of 65585 and 65596.

Prime Factorization of 65585

Prime Factorization of 65596

Now multiplying the highest exponent prime factors to calculate the LCM of 65585 and 65596.

LCM(65585,65596) = 5¹ × 13¹ × 1009¹ × 2² × 23² × 31¹
LCM(65585,65596) = 4302113660