What is the Least Common Multiple of 28960 and 28967?

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 28960 and 28967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28960 and 28967, than apply into the LCM equation.

GCF(28960,28967) = 1
LCM(28960,28967) = ( 28960 × 28967) / 1
LCM(28960,28967) = 838884320 / 1
LCM(28960,28967) = 838884320

Least Common Multiple (LCM) of 28960 and 28967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28960 and 28967. First we will calculate the prime factors of 28960 and 28967.

Prime Factorization of 28960

Prime Factorization of 28967

Now multiplying the highest exponent prime factors to calculate the LCM of 28960 and 28967.

LCM(28960,28967) = 2⁵ × 5¹ × 181¹ × 83¹ × 349¹
LCM(28960,28967) = 838884320