What is the Least Common Multiple of 28170 and 28184?

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 28170 and 28184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28170 and 28184, than apply into the LCM equation.

GCF(28170,28184) = 2
LCM(28170,28184) = ( 28170 × 28184) / 2
LCM(28170,28184) = 793943280 / 2
LCM(28170,28184) = 396971640

Least Common Multiple (LCM) of 28170 and 28184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28170 and 28184. First we will calculate the prime factors of 28170 and 28184.

Prime Factorization of 28170

Prime Factorization of 28184

Now multiplying the highest exponent prime factors to calculate the LCM of 28170 and 28184.

LCM(28170,28184) = 2³ × 3² × 5¹ × 313¹ × 13¹ × 271¹
LCM(28170,28184) = 396971640