What is the Least Common Multiple of 80596 and 80600?

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 80596 and 80600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80596 and 80600, than apply into the LCM equation.

GCF(80596,80600) = 4
LCM(80596,80600) = ( 80596 × 80600) / 4
LCM(80596,80600) = 6496037600 / 4
LCM(80596,80600) = 1624009400

Least Common Multiple (LCM) of 80596 and 80600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80596 and 80600. First we will calculate the prime factors of 80596 and 80600.

Prime Factorization of 80596

Prime Factorization of 80600

Now multiplying the highest exponent prime factors to calculate the LCM of 80596 and 80600.

LCM(80596,80600) = 2³ × 20149¹ × 5² × 13¹ × 31¹
LCM(80596,80600) = 1624009400