What is the Least Common Multiple of 64285 and 64298?

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 64285 and 64298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64285 and 64298, than apply into the LCM equation.

GCF(64285,64298) = 13
LCM(64285,64298) = ( 64285 × 64298) / 13
LCM(64285,64298) = 4133396930 / 13
LCM(64285,64298) = 317953610

Least Common Multiple (LCM) of 64285 and 64298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64285 and 64298. First we will calculate the prime factors of 64285 and 64298.

Prime Factorization of 64285

Prime Factorization of 64298

Now multiplying the highest exponent prime factors to calculate the LCM of 64285 and 64298.

LCM(64285,64298) = 5¹ × 13¹ × 23¹ × 43¹ × 2¹ × 2473¹
LCM(64285,64298) = 317953610