What is the Least Common Multiple of 28678 and 28691?

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 28678 and 28691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28678 and 28691, than apply into the LCM equation.

GCF(28678,28691) = 13
LCM(28678,28691) = ( 28678 × 28691) / 13
LCM(28678,28691) = 822800498 / 13
LCM(28678,28691) = 63292346

Least Common Multiple (LCM) of 28678 and 28691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28678 and 28691. First we will calculate the prime factors of 28678 and 28691.

Prime Factorization of 28678

Prime Factorization of 28691

Now multiplying the highest exponent prime factors to calculate the LCM of 28678 and 28691.

LCM(28678,28691) = 2¹ × 13¹ × 1103¹ × 2207¹
LCM(28678,28691) = 63292346