What is the Least Common Multiple of 65325 and 65345?

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 65325 and 65345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65325 and 65345, than apply into the LCM equation.

GCF(65325,65345) = 5
LCM(65325,65345) = ( 65325 × 65345) / 5
LCM(65325,65345) = 4268662125 / 5
LCM(65325,65345) = 853732425

Least Common Multiple (LCM) of 65325 and 65345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65325 and 65345. First we will calculate the prime factors of 65325 and 65345.

Prime Factorization of 65325

Prime Factorization of 65345

Now multiplying the highest exponent prime factors to calculate the LCM of 65325 and 65345.

LCM(65325,65345) = 3¹ × 5² × 13¹ × 67¹ × 7¹ × 1867¹
LCM(65325,65345) = 853732425