What is the Least Common Multiple of 65247 and 65260?

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 65247 and 65260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65247 and 65260, than apply into the LCM equation.

GCF(65247,65260) = 13
LCM(65247,65260) = ( 65247 × 65260) / 13
LCM(65247,65260) = 4258019220 / 13
LCM(65247,65260) = 327539940

Least Common Multiple (LCM) of 65247 and 65260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65247 and 65260. First we will calculate the prime factors of 65247 and 65260.

Prime Factorization of 65247

Prime Factorization of 65260

Now multiplying the highest exponent prime factors to calculate the LCM of 65247 and 65260.

LCM(65247,65260) = 3¹ × 7¹ × 13¹ × 239¹ × 2² × 5¹ × 251¹
LCM(65247,65260) = 327539940