What is the Least Common Multiple of 27984 and 28003?

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 27984 and 28003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27984 and 28003, than apply into the LCM equation.

GCF(27984,28003) = 1
LCM(27984,28003) = ( 27984 × 28003) / 1
LCM(27984,28003) = 783635952 / 1
LCM(27984,28003) = 783635952

Least Common Multiple (LCM) of 27984 and 28003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27984 and 28003. First we will calculate the prime factors of 27984 and 28003.

Prime Factorization of 27984

Prime Factorization of 28003

Now multiplying the highest exponent prime factors to calculate the LCM of 27984 and 28003.

LCM(27984,28003) = 2⁴ × 3¹ × 11¹ × 53¹ × 41¹ × 683¹
LCM(27984,28003) = 783635952