What is the Least Common Multiple of 28350 and 28370?

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 28350 and 28370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28350 and 28370, than apply into the LCM equation.

GCF(28350,28370) = 10
LCM(28350,28370) = ( 28350 × 28370) / 10
LCM(28350,28370) = 804289500 / 10
LCM(28350,28370) = 80428950

Least Common Multiple (LCM) of 28350 and 28370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28350 and 28370. First we will calculate the prime factors of 28350 and 28370.

Prime Factorization of 28350

Prime Factorization of 28370

Now multiplying the highest exponent prime factors to calculate the LCM of 28350 and 28370.

LCM(28350,28370) = 2¹ × 3⁴ × 5² × 7¹ × 2837¹
LCM(28350,28370) = 80428950