What is the Least Common Multiple of 28160 and 28174?

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 28160 and 28174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28160 and 28174, than apply into the LCM equation.

GCF(28160,28174) = 2
LCM(28160,28174) = ( 28160 × 28174) / 2
LCM(28160,28174) = 793379840 / 2
LCM(28160,28174) = 396689920

Least Common Multiple (LCM) of 28160 and 28174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28160 and 28174. First we will calculate the prime factors of 28160 and 28174.

Prime Factorization of 28160

Prime Factorization of 28174

Now multiplying the highest exponent prime factors to calculate the LCM of 28160 and 28174.

LCM(28160,28174) = 2⁹ × 5¹ × 11¹ × 14087¹
LCM(28160,28174) = 396689920