What is the Least Common Multiple of 80196 and 80208?

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 80196 and 80208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80196 and 80208, than apply into the LCM equation.

GCF(80196,80208) = 12
LCM(80196,80208) = ( 80196 × 80208) / 12
LCM(80196,80208) = 6432360768 / 12
LCM(80196,80208) = 536030064

Least Common Multiple (LCM) of 80196 and 80208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80196 and 80208. First we will calculate the prime factors of 80196 and 80208.

Prime Factorization of 80196

Prime Factorization of 80208

Now multiplying the highest exponent prime factors to calculate the LCM of 80196 and 80208.

LCM(80196,80208) = 2⁴ × 3² × 41¹ × 163¹ × 557¹
LCM(80196,80208) = 536030064