What is the Least Common Multiple of 28208 and 28219?

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 28208 and 28219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28208 and 28219, than apply into the LCM equation.

GCF(28208,28219) = 1
LCM(28208,28219) = ( 28208 × 28219) / 1
LCM(28208,28219) = 796001552 / 1
LCM(28208,28219) = 796001552

Least Common Multiple (LCM) of 28208 and 28219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28208 and 28219. First we will calculate the prime factors of 28208 and 28219.

Prime Factorization of 28208

Prime Factorization of 28219

Now multiplying the highest exponent prime factors to calculate the LCM of 28208 and 28219.

LCM(28208,28219) = 2⁴ × 41¹ × 43¹ × 28219¹
LCM(28208,28219) = 796001552