What is the Least Common Multiple of 27984 and 27997?

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 27997 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 27997, than apply into the LCM equation.

GCF(27984,27997) = 1
LCM(27984,27997) = ( 27984 × 27997) / 1
LCM(27984,27997) = 783468048 / 1
LCM(27984,27997) = 783468048

Least Common Multiple (LCM) of 27984 and 27997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27984 and 27997. First we will calculate the prime factors of 27984 and 27997.

Prime Factorization of 27984

Prime Factorization of 27997

Now multiplying the highest exponent prime factors to calculate the LCM of 27984 and 27997.

LCM(27984,27997) = 2⁴ × 3¹ × 11¹ × 53¹ × 27997¹
LCM(27984,27997) = 783468048