What is the Least Common Multiple of 64302 and 64309?

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 64302 and 64309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64302 and 64309, than apply into the LCM equation.

GCF(64302,64309) = 7
LCM(64302,64309) = ( 64302 × 64309) / 7
LCM(64302,64309) = 4135197318 / 7
LCM(64302,64309) = 590742474

Least Common Multiple (LCM) of 64302 and 64309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64302 and 64309. First we will calculate the prime factors of 64302 and 64309.

Prime Factorization of 64302

Prime Factorization of 64309

Now multiplying the highest exponent prime factors to calculate the LCM of 64302 and 64309.

LCM(64302,64309) = 2¹ × 3¹ × 7¹ × 1531¹ × 9187¹
LCM(64302,64309) = 590742474