What is the Least Common Multiple of 26984 and 27002?

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 26984 and 27002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26984 and 27002, than apply into the LCM equation.

GCF(26984,27002) = 2
LCM(26984,27002) = ( 26984 × 27002) / 2
LCM(26984,27002) = 728621968 / 2
LCM(26984,27002) = 364310984

Least Common Multiple (LCM) of 26984 and 27002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26984 and 27002. First we will calculate the prime factors of 26984 and 27002.

Prime Factorization of 26984

Prime Factorization of 27002

Now multiplying the highest exponent prime factors to calculate the LCM of 26984 and 27002.

LCM(26984,27002) = 2³ × 3373¹ × 23¹ × 587¹
LCM(26984,27002) = 364310984