What is the Least Common Multiple of 28370 and 28381?

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 28370 and 28381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28370 and 28381, than apply into the LCM equation.

GCF(28370,28381) = 1
LCM(28370,28381) = ( 28370 × 28381) / 1
LCM(28370,28381) = 805168970 / 1
LCM(28370,28381) = 805168970

Least Common Multiple (LCM) of 28370 and 28381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28370 and 28381. First we will calculate the prime factors of 28370 and 28381.

Prime Factorization of 28370

Prime Factorization of 28381

Now multiplying the highest exponent prime factors to calculate the LCM of 28370 and 28381.

LCM(28370,28381) = 2¹ × 5¹ × 2837¹ × 101¹ × 281¹
LCM(28370,28381) = 805168970