What is the Least Common Multiple of 65250 and 65259?

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 65250 and 65259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65250 and 65259, than apply into the LCM equation.

GCF(65250,65259) = 9
LCM(65250,65259) = ( 65250 × 65259) / 9
LCM(65250,65259) = 4258149750 / 9
LCM(65250,65259) = 473127750

Least Common Multiple (LCM) of 65250 and 65259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65250 and 65259. First we will calculate the prime factors of 65250 and 65259.

Prime Factorization of 65250

Prime Factorization of 65259

Now multiplying the highest exponent prime factors to calculate the LCM of 65250 and 65259.

LCM(65250,65259) = 2¹ × 3³ × 5³ × 29¹ × 2417¹
LCM(65250,65259) = 473127750