What is the Least Common Multiple of 85324 and 85344?

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 85344 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 85344, than apply into the LCM equation.

GCF(85324,85344) = 4
LCM(85324,85344) = ( 85324 × 85344) / 4
LCM(85324,85344) = 7281891456 / 4
LCM(85324,85344) = 1820472864

Least Common Multiple (LCM) of 85324 and 85344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85324 and 85344. First we will calculate the prime factors of 85324 and 85344.

Prime Factorization of 85324

Prime Factorization of 85344

Now multiplying the highest exponent prime factors to calculate the LCM of 85324 and 85344.

LCM(85324,85344) = 2⁵ × 83¹ × 257¹ × 3¹ × 7¹ × 127¹
LCM(85324,85344) = 1820472864