What is the Least Common Multiple of 72984 and 73003?

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 72984 and 73003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72984 and 73003, than apply into the LCM equation.

GCF(72984,73003) = 1
LCM(72984,73003) = ( 72984 × 73003) / 1
LCM(72984,73003) = 5328050952 / 1
LCM(72984,73003) = 5328050952

Least Common Multiple (LCM) of 72984 and 73003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72984 and 73003. First we will calculate the prime factors of 72984 and 73003.

Prime Factorization of 72984

Prime Factorization of 73003

Now multiplying the highest exponent prime factors to calculate the LCM of 72984 and 73003.

LCM(72984,73003) = 2³ × 3¹ × 3041¹ × 7¹ × 10429¹
LCM(72984,73003) = 5328050952