What is the Least Common Multiple of 85552 and 85568?

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 85552 and 85568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85552 and 85568, than apply into the LCM equation.

GCF(85552,85568) = 16
LCM(85552,85568) = ( 85552 × 85568) / 16
LCM(85552,85568) = 7320513536 / 16
LCM(85552,85568) = 457532096

Least Common Multiple (LCM) of 85552 and 85568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85552 and 85568. First we will calculate the prime factors of 85552 and 85568.

Prime Factorization of 85552

Prime Factorization of 85568

Now multiplying the highest exponent prime factors to calculate the LCM of 85552 and 85568.

LCM(85552,85568) = 2⁶ × 5347¹ × 7¹ × 191¹
LCM(85552,85568) = 457532096