What is the Least Common Multiple of 64258 and 64264?

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 64264 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 64264, than apply into the LCM equation.

GCF(64258,64264) = 2
LCM(64258,64264) = ( 64258 × 64264) / 2
LCM(64258,64264) = 4129476112 / 2
LCM(64258,64264) = 2064738056

Least Common Multiple (LCM) of 64258 and 64264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64258 and 64264. First we will calculate the prime factors of 64258 and 64264.

Prime Factorization of 64258

Prime Factorization of 64264

Now multiplying the highest exponent prime factors to calculate the LCM of 64258 and 64264.

LCM(64258,64264) = 2³ × 19² × 89¹ × 29¹ × 277¹
LCM(64258,64264) = 2064738056