What is the Least Common Multiple of 26984 and 27003?

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 27003 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 27003, than apply into the LCM equation.

GCF(26984,27003) = 1
LCM(26984,27003) = ( 26984 × 27003) / 1
LCM(26984,27003) = 728648952 / 1
LCM(26984,27003) = 728648952

Least Common Multiple (LCM) of 26984 and 27003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26984 and 27003. First we will calculate the prime factors of 26984 and 27003.

Prime Factorization of 26984

Prime Factorization of 27003

Now multiplying the highest exponent prime factors to calculate the LCM of 26984 and 27003.

LCM(26984,27003) = 2³ × 3373¹ × 3¹ × 9001¹
LCM(26984,27003) = 728648952