What is the Least Common Multiple of 64197 and 64209?

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 64197 and 64209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64197 and 64209, than apply into the LCM equation.

GCF(64197,64209) = 3
LCM(64197,64209) = ( 64197 × 64209) / 3
LCM(64197,64209) = 4122025173 / 3
LCM(64197,64209) = 1374008391

Least Common Multiple (LCM) of 64197 and 64209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64197 and 64209. First we will calculate the prime factors of 64197 and 64209.

Prime Factorization of 64197

Prime Factorization of 64209

Now multiplying the highest exponent prime factors to calculate the LCM of 64197 and 64209.

LCM(64197,64209) = 3² × 7¹ × 1019¹ × 17¹ × 1259¹
LCM(64197,64209) = 1374008391