What is the Least Common Multiple of 65251 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 65251 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 65251 and 65260, than apply into the LCM equation.

GCF(65251,65260) = 1
LCM(65251,65260) = ( 65251 × 65260) / 1
LCM(65251,65260) = 4258280260 / 1
LCM(65251,65260) = 4258280260

Least Common Multiple (LCM) of 65251 and 65260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65251 and 65260. First we will calculate the prime factors of 65251 and 65260.

Prime Factorization of 65251

Prime Factorization of 65260

Now multiplying the highest exponent prime factors to calculate the LCM of 65251 and 65260.

LCM(65251,65260) = 23¹ × 2837¹ × 2² × 5¹ × 13¹ × 251¹
LCM(65251,65260) = 4258280260