What is the Least Common Multiple of 5984 and 5996?

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 5984 and 5996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5984 and 5996, than apply into the LCM equation.

GCF(5984,5996) = 4
LCM(5984,5996) = ( 5984 × 5996) / 4
LCM(5984,5996) = 35880064 / 4
LCM(5984,5996) = 8970016

Least Common Multiple (LCM) of 5984 and 5996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5984 and 5996. First we will calculate the prime factors of 5984 and 5996.

Prime Factorization of 5984

Prime Factorization of 5996

Now multiplying the highest exponent prime factors to calculate the LCM of 5984 and 5996.

LCM(5984,5996) = 2⁵ × 11¹ × 17¹ × 1499¹
LCM(5984,5996) = 8970016