What is the Least Common Multiple of 28230 and 28245?

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 28230 and 28245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28230 and 28245, than apply into the LCM equation.

GCF(28230,28245) = 15
LCM(28230,28245) = ( 28230 × 28245) / 15
LCM(28230,28245) = 797356350 / 15
LCM(28230,28245) = 53157090

Least Common Multiple (LCM) of 28230 and 28245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28230 and 28245. First we will calculate the prime factors of 28230 and 28245.

Prime Factorization of 28230

Prime Factorization of 28245

Now multiplying the highest exponent prime factors to calculate the LCM of 28230 and 28245.

LCM(28230,28245) = 2¹ × 3¹ × 5¹ × 941¹ × 7¹ × 269¹
LCM(28230,28245) = 53157090