What is the Least Common Multiple of 28300 and 28315?

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 28300 and 28315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28300 and 28315, than apply into the LCM equation.

GCF(28300,28315) = 5
LCM(28300,28315) = ( 28300 × 28315) / 5
LCM(28300,28315) = 801314500 / 5
LCM(28300,28315) = 160262900

Least Common Multiple (LCM) of 28300 and 28315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28300 and 28315. First we will calculate the prime factors of 28300 and 28315.

Prime Factorization of 28300

Prime Factorization of 28315

Now multiplying the highest exponent prime factors to calculate the LCM of 28300 and 28315.

LCM(28300,28315) = 2² × 5² × 283¹ × 7¹ × 809¹
LCM(28300,28315) = 160262900