What is the Least Common Multiple of 64350 and 64368?

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 64350 and 64368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64350 and 64368, than apply into the LCM equation.

GCF(64350,64368) = 18
LCM(64350,64368) = ( 64350 × 64368) / 18
LCM(64350,64368) = 4142080800 / 18
LCM(64350,64368) = 230115600

Least Common Multiple (LCM) of 64350 and 64368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64350 and 64368. First we will calculate the prime factors of 64350 and 64368.

Prime Factorization of 64350

Prime Factorization of 64368

Now multiplying the highest exponent prime factors to calculate the LCM of 64350 and 64368.

LCM(64350,64368) = 2⁴ × 3³ × 5² × 11¹ × 13¹ × 149¹
LCM(64350,64368) = 230115600