What is the Least Common Multiple of 85345 and 85358?

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 85345 and 85358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85345 and 85358, than apply into the LCM equation.

GCF(85345,85358) = 13
LCM(85345,85358) = ( 85345 × 85358) / 13
LCM(85345,85358) = 7284878510 / 13
LCM(85345,85358) = 560375270

Least Common Multiple (LCM) of 85345 and 85358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85345 and 85358. First we will calculate the prime factors of 85345 and 85358.

Prime Factorization of 85345

Prime Factorization of 85358

Now multiplying the highest exponent prime factors to calculate the LCM of 85345 and 85358.

LCM(85345,85358) = 5¹ × 13² × 101¹ × 2¹ × 7² × 67¹
LCM(85345,85358) = 560375270