What is the Least Common Multiple of 65194 and 65209?

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 65194 and 65209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65194 and 65209, than apply into the LCM equation.

GCF(65194,65209) = 1
LCM(65194,65209) = ( 65194 × 65209) / 1
LCM(65194,65209) = 4251235546 / 1
LCM(65194,65209) = 4251235546

Least Common Multiple (LCM) of 65194 and 65209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65194 and 65209. First we will calculate the prime factors of 65194 and 65209.

Prime Factorization of 65194

Prime Factorization of 65209

Now multiplying the highest exponent prime factors to calculate the LCM of 65194 and 65209.

LCM(65194,65209) = 2¹ × 37¹ × 881¹ × 61¹ × 1069¹
LCM(65194,65209) = 4251235546