What is the Least Common Multiple of 28260 and 28270?

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 28260 and 28270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28260 and 28270, than apply into the LCM equation.

GCF(28260,28270) = 10
LCM(28260,28270) = ( 28260 × 28270) / 10
LCM(28260,28270) = 798910200 / 10
LCM(28260,28270) = 79891020

Least Common Multiple (LCM) of 28260 and 28270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28260 and 28270. First we will calculate the prime factors of 28260 and 28270.

Prime Factorization of 28260

Prime Factorization of 28270

Now multiplying the highest exponent prime factors to calculate the LCM of 28260 and 28270.

LCM(28260,28270) = 2² × 3² × 5¹ × 157¹ × 11¹ × 257¹
LCM(28260,28270) = 79891020