What is the Least Common Multiple of 64250 and 64255?

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 64255 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 64255, than apply into the LCM equation.

GCF(64250,64255) = 5
LCM(64250,64255) = ( 64250 × 64255) / 5
LCM(64250,64255) = 4128383750 / 5
LCM(64250,64255) = 825676750

Least Common Multiple (LCM) of 64250 and 64255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64250 and 64255. First we will calculate the prime factors of 64250 and 64255.

Prime Factorization of 64250

Prime Factorization of 64255

Now multiplying the highest exponent prime factors to calculate the LCM of 64250 and 64255.

LCM(64250,64255) = 2¹ × 5³ × 257¹ × 71¹ × 181¹
LCM(64250,64255) = 825676750