What is the Least Common Multiple of 28219 and 28235?

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 28219 and 28235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28219 and 28235, than apply into the LCM equation.

GCF(28219,28235) = 1
LCM(28219,28235) = ( 28219 × 28235) / 1
LCM(28219,28235) = 796763465 / 1
LCM(28219,28235) = 796763465

Least Common Multiple (LCM) of 28219 and 28235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28219 and 28235. First we will calculate the prime factors of 28219 and 28235.

Prime Factorization of 28219

Prime Factorization of 28235

Now multiplying the highest exponent prime factors to calculate the LCM of 28219 and 28235.

LCM(28219,28235) = 28219¹ × 5¹ × 5647¹
LCM(28219,28235) = 796763465