What is the Least Common Multiple of 28160 and 28178?

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 28178 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 28178, than apply into the LCM equation.

GCF(28160,28178) = 2
LCM(28160,28178) = ( 28160 × 28178) / 2
LCM(28160,28178) = 793492480 / 2
LCM(28160,28178) = 396746240

Least Common Multiple (LCM) of 28160 and 28178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28160 and 28178. First we will calculate the prime factors of 28160 and 28178.

Prime Factorization of 28160

Prime Factorization of 28178

Now multiplying the highest exponent prime factors to calculate the LCM of 28160 and 28178.

LCM(28160,28178) = 2⁹ × 5¹ × 11¹ × 73¹ × 193¹
LCM(28160,28178) = 396746240