What is the Least Common Multiple of 85585 and 85592?

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 85585 and 85592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85585 and 85592, than apply into the LCM equation.

GCF(85585,85592) = 1
LCM(85585,85592) = ( 85585 × 85592) / 1
LCM(85585,85592) = 7325391320 / 1
LCM(85585,85592) = 7325391320

Least Common Multiple (LCM) of 85585 and 85592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85585 and 85592. First we will calculate the prime factors of 85585 and 85592.

Prime Factorization of 85585

Prime Factorization of 85592

Now multiplying the highest exponent prime factors to calculate the LCM of 85585 and 85592.

LCM(85585,85592) = 5¹ × 17117¹ × 2³ × 13¹ × 823¹
LCM(85585,85592) = 7325391320