What is the Least Common Multiple of 81984 and 82003?

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 81984 and 82003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81984 and 82003, than apply into the LCM equation.

GCF(81984,82003) = 1
LCM(81984,82003) = ( 81984 × 82003) / 1
LCM(81984,82003) = 6722933952 / 1
LCM(81984,82003) = 6722933952

Least Common Multiple (LCM) of 81984 and 82003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81984 and 82003. First we will calculate the prime factors of 81984 and 82003.

Prime Factorization of 81984

Prime Factorization of 82003

Now multiplying the highest exponent prime factors to calculate the LCM of 81984 and 82003.

LCM(81984,82003) = 2⁶ × 3¹ × 7¹ × 61¹ × 82003¹
LCM(81984,82003) = 6722933952