What is the Least Common Multiple of 27984 and 28002?

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 28002 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 28002, than apply into the LCM equation.

GCF(27984,28002) = 6
LCM(27984,28002) = ( 27984 × 28002) / 6
LCM(27984,28002) = 783607968 / 6
LCM(27984,28002) = 130601328

Least Common Multiple (LCM) of 27984 and 28002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27984 and 28002. First we will calculate the prime factors of 27984 and 28002.

Prime Factorization of 27984

Prime Factorization of 28002

Now multiplying the highest exponent prime factors to calculate the LCM of 27984 and 28002.

LCM(27984,28002) = 2⁴ × 3¹ × 11¹ × 53¹ × 13¹ × 359¹
LCM(27984,28002) = 130601328