What is the Least Common Multiple of 27984 and 27992?

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 27992 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 27992, than apply into the LCM equation.

GCF(27984,27992) = 8
LCM(27984,27992) = ( 27984 × 27992) / 8
LCM(27984,27992) = 783328128 / 8
LCM(27984,27992) = 97916016

Least Common Multiple (LCM) of 27984 and 27992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27984 and 27992. First we will calculate the prime factors of 27984 and 27992.

Prime Factorization of 27984

Prime Factorization of 27992

Now multiplying the highest exponent prime factors to calculate the LCM of 27984 and 27992.

LCM(27984,27992) = 2⁴ × 3¹ × 11¹ × 53¹ × 3499¹
LCM(27984,27992) = 97916016