What is the Least Common Multiple of 64258 and 64268?

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 64258 and 64268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64258 and 64268, than apply into the LCM equation.

GCF(64258,64268) = 2
LCM(64258,64268) = ( 64258 × 64268) / 2
LCM(64258,64268) = 4129733144 / 2
LCM(64258,64268) = 2064866572

Least Common Multiple (LCM) of 64258 and 64268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64258 and 64268. First we will calculate the prime factors of 64258 and 64268.

Prime Factorization of 64258

Prime Factorization of 64268

Now multiplying the highest exponent prime factors to calculate the LCM of 64258 and 64268.

LCM(64258,64268) = 2² × 19² × 89¹ × 16067¹
LCM(64258,64268) = 2064866572