What is the Least Common Multiple of 8189 and 8200?

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 8189 and 8200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8189 and 8200, than apply into the LCM equation.

GCF(8189,8200) = 1
LCM(8189,8200) = ( 8189 × 8200) / 1
LCM(8189,8200) = 67149800 / 1
LCM(8189,8200) = 67149800

Least Common Multiple (LCM) of 8189 and 8200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8189 and 8200. First we will calculate the prime factors of 8189 and 8200.

Prime Factorization of 8189

Prime Factorization of 8200

Now multiplying the highest exponent prime factors to calculate the LCM of 8189 and 8200.

LCM(8189,8200) = 19¹ × 431¹ × 2³ × 5² × 41¹
LCM(8189,8200) = 67149800