What is the Least Common Multiple of 9198 and 9205?

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 9198 and 9205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9198 and 9205, than apply into the LCM equation.

GCF(9198,9205) = 7
LCM(9198,9205) = ( 9198 × 9205) / 7
LCM(9198,9205) = 84667590 / 7
LCM(9198,9205) = 12095370

Least Common Multiple (LCM) of 9198 and 9205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9198 and 9205. First we will calculate the prime factors of 9198 and 9205.

Prime Factorization of 9198

Prime Factorization of 9205

Now multiplying the highest exponent prime factors to calculate the LCM of 9198 and 9205.

LCM(9198,9205) = 2¹ × 3² × 7¹ × 73¹ × 5¹ × 263¹
LCM(9198,9205) = 12095370