What is the Least Common Multiple of 65244 and 65250?

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 65244 and 65250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65244 and 65250, than apply into the LCM equation.

GCF(65244,65250) = 6
LCM(65244,65250) = ( 65244 × 65250) / 6
LCM(65244,65250) = 4257171000 / 6
LCM(65244,65250) = 709528500

Least Common Multiple (LCM) of 65244 and 65250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65244 and 65250. First we will calculate the prime factors of 65244 and 65250.

Prime Factorization of 65244

Prime Factorization of 65250

Now multiplying the highest exponent prime factors to calculate the LCM of 65244 and 65250.

LCM(65244,65250) = 2² × 3² × 5437¹ × 5³ × 29¹
LCM(65244,65250) = 709528500