What is the Least Common Multiple of 64194 and 64207?

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 64194 and 64207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64194 and 64207, than apply into the LCM equation.

GCF(64194,64207) = 13
LCM(64194,64207) = ( 64194 × 64207) / 13
LCM(64194,64207) = 4121704158 / 13
LCM(64194,64207) = 317054166

Least Common Multiple (LCM) of 64194 and 64207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64194 and 64207. First we will calculate the prime factors of 64194 and 64207.

Prime Factorization of 64194

Prime Factorization of 64207

Now multiplying the highest exponent prime factors to calculate the LCM of 64194 and 64207.

LCM(64194,64207) = 2¹ × 3¹ × 13¹ × 823¹ × 11¹ × 449¹
LCM(64194,64207) = 317054166