What is the Least Common Multiple of 28145 and 28163?

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 28145 and 28163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28145 and 28163, than apply into the LCM equation.

GCF(28145,28163) = 1
LCM(28145,28163) = ( 28145 × 28163) / 1
LCM(28145,28163) = 792647635 / 1
LCM(28145,28163) = 792647635

Least Common Multiple (LCM) of 28145 and 28163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28145 and 28163. First we will calculate the prime factors of 28145 and 28163.

Prime Factorization of 28145

Prime Factorization of 28163

Now multiplying the highest exponent prime factors to calculate the LCM of 28145 and 28163.

LCM(28145,28163) = 5¹ × 13¹ × 433¹ × 28163¹
LCM(28145,28163) = 792647635