What is the Least Common Multiple of 85408 and 85424?

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 85408 and 85424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85408 and 85424, than apply into the LCM equation.

GCF(85408,85424) = 16
LCM(85408,85424) = ( 85408 × 85424) / 16
LCM(85408,85424) = 7295892992 / 16
LCM(85408,85424) = 455993312

Least Common Multiple (LCM) of 85408 and 85424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85408 and 85424. First we will calculate the prime factors of 85408 and 85424.

Prime Factorization of 85408

Prime Factorization of 85424

Now multiplying the highest exponent prime factors to calculate the LCM of 85408 and 85424.

LCM(85408,85424) = 2⁵ × 17¹ × 157¹ × 19¹ × 281¹
LCM(85408,85424) = 455993312