What is the Least Common Multiple of 12193 and 12198?

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 12193 and 12198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12193 and 12198, than apply into the LCM equation.

GCF(12193,12198) = 1
LCM(12193,12198) = ( 12193 × 12198) / 1
LCM(12193,12198) = 148730214 / 1
LCM(12193,12198) = 148730214

Least Common Multiple (LCM) of 12193 and 12198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12193 and 12198. First we will calculate the prime factors of 12193 and 12198.

Prime Factorization of 12193

Prime Factorization of 12198

Now multiplying the highest exponent prime factors to calculate the LCM of 12193 and 12198.

LCM(12193,12198) = 89¹ × 137¹ × 2¹ × 3¹ × 19¹ × 107¹
LCM(12193,12198) = 148730214