What is the Least Common Multiple of 64250 and 64258?

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 64250 and 64258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64250 and 64258, than apply into the LCM equation.

GCF(64250,64258) = 2
LCM(64250,64258) = ( 64250 × 64258) / 2
LCM(64250,64258) = 4128576500 / 2
LCM(64250,64258) = 2064288250

Least Common Multiple (LCM) of 64250 and 64258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64250 and 64258. First we will calculate the prime factors of 64250 and 64258.

Prime Factorization of 64250

Prime Factorization of 64258

Now multiplying the highest exponent prime factors to calculate the LCM of 64250 and 64258.

LCM(64250,64258) = 2¹ × 5³ × 257¹ × 19² × 89¹
LCM(64250,64258) = 2064288250