What is the Least Common Multiple of 85926 and 85935?

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 85926 and 85935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85926 and 85935, than apply into the LCM equation.

GCF(85926,85935) = 3
LCM(85926,85935) = ( 85926 × 85935) / 3
LCM(85926,85935) = 7384050810 / 3
LCM(85926,85935) = 2461350270

Least Common Multiple (LCM) of 85926 and 85935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85926 and 85935. First we will calculate the prime factors of 85926 and 85935.

Prime Factorization of 85926

Prime Factorization of 85935

Now multiplying the highest exponent prime factors to calculate the LCM of 85926 and 85935.

LCM(85926,85935) = 2¹ × 3¹ × 14321¹ × 5¹ × 17¹ × 337¹
LCM(85926,85935) = 2461350270