What is the Least Common Multiple of 27984 and 27999?

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 27999 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 27999, than apply into the LCM equation.

GCF(27984,27999) = 3
LCM(27984,27999) = ( 27984 × 27999) / 3
LCM(27984,27999) = 783524016 / 3
LCM(27984,27999) = 261174672

Least Common Multiple (LCM) of 27984 and 27999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27984 and 27999. First we will calculate the prime factors of 27984 and 27999.

Prime Factorization of 27984

Prime Factorization of 27999

Now multiplying the highest exponent prime factors to calculate the LCM of 27984 and 27999.

LCM(27984,27999) = 2⁴ × 3³ × 11¹ × 53¹ × 17¹ × 61¹
LCM(27984,27999) = 261174672