What is the Least Common Multiple of 85324 and 85334?

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 85324 and 85334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85324 and 85334, than apply into the LCM equation.

GCF(85324,85334) = 2
LCM(85324,85334) = ( 85324 × 85334) / 2
LCM(85324,85334) = 7281038216 / 2
LCM(85324,85334) = 3640519108

Least Common Multiple (LCM) of 85324 and 85334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85324 and 85334. First we will calculate the prime factors of 85324 and 85334.

Prime Factorization of 85324

Prime Factorization of 85334

Now multiplying the highest exponent prime factors to calculate the LCM of 85324 and 85334.

LCM(85324,85334) = 2² × 83¹ × 257¹ × 42667¹
LCM(85324,85334) = 3640519108