What is the Least Common Multiple of 28350 and 28365?

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 28365 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 28365, than apply into the LCM equation.

GCF(28350,28365) = 15
LCM(28350,28365) = ( 28350 × 28365) / 15
LCM(28350,28365) = 804147750 / 15
LCM(28350,28365) = 53609850

Least Common Multiple (LCM) of 28350 and 28365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28350 and 28365. First we will calculate the prime factors of 28350 and 28365.

Prime Factorization of 28350

Prime Factorization of 28365

Now multiplying the highest exponent prime factors to calculate the LCM of 28350 and 28365.

LCM(28350,28365) = 2¹ × 3⁴ × 5² × 7¹ × 31¹ × 61¹
LCM(28350,28365) = 53609850