What is the Least Common Multiple of 12194 and 12209?

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 12194 and 12209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12194 and 12209, than apply into the LCM equation.

GCF(12194,12209) = 1
LCM(12194,12209) = ( 12194 × 12209) / 1
LCM(12194,12209) = 148876546 / 1
LCM(12194,12209) = 148876546

Least Common Multiple (LCM) of 12194 and 12209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12194 and 12209. First we will calculate the prime factors of 12194 and 12209.

Prime Factorization of 12194

Prime Factorization of 12209

Now multiplying the highest exponent prime factors to calculate the LCM of 12194 and 12209.

LCM(12194,12209) = 2¹ × 7¹ × 13¹ × 67¹ × 29¹ × 421¹
LCM(12194,12209) = 148876546