What is the Least Common Multiple of 83504 and 83508?

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 83504 and 83508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83504 and 83508, than apply into the LCM equation.

GCF(83504,83508) = 4
LCM(83504,83508) = ( 83504 × 83508) / 4
LCM(83504,83508) = 6973252032 / 4
LCM(83504,83508) = 1743313008

Least Common Multiple (LCM) of 83504 and 83508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83504 and 83508. First we will calculate the prime factors of 83504 and 83508.

Prime Factorization of 83504

Prime Factorization of 83508

Now multiplying the highest exponent prime factors to calculate the LCM of 83504 and 83508.

LCM(83504,83508) = 2⁴ × 17¹ × 307¹ × 3¹ × 6959¹
LCM(83504,83508) = 1743313008