What is the Least Common Multiple of 28315 and 28335?

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 28315 and 28335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28315 and 28335, than apply into the LCM equation.

GCF(28315,28335) = 5
LCM(28315,28335) = ( 28315 × 28335) / 5
LCM(28315,28335) = 802305525 / 5
LCM(28315,28335) = 160461105

Least Common Multiple (LCM) of 28315 and 28335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28315 and 28335. First we will calculate the prime factors of 28315 and 28335.

Prime Factorization of 28315

Prime Factorization of 28335

Now multiplying the highest exponent prime factors to calculate the LCM of 28315 and 28335.

LCM(28315,28335) = 5¹ × 7¹ × 809¹ × 3¹ × 1889¹
LCM(28315,28335) = 160461105