What is the Least Common Multiple of 9189 and 9206?

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 9189 and 9206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9189 and 9206, than apply into the LCM equation.

GCF(9189,9206) = 1
LCM(9189,9206) = ( 9189 × 9206) / 1
LCM(9189,9206) = 84593934 / 1
LCM(9189,9206) = 84593934

Least Common Multiple (LCM) of 9189 and 9206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9189 and 9206. First we will calculate the prime factors of 9189 and 9206.

Prime Factorization of 9189

Prime Factorization of 9206

Now multiplying the highest exponent prime factors to calculate the LCM of 9189 and 9206.

LCM(9189,9206) = 3² × 1021¹ × 2¹ × 4603¹
LCM(9189,9206) = 84593934