What is the Least Common Multiple of 65307 and 65325?

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 65307 and 65325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65307 and 65325, than apply into the LCM equation.

GCF(65307,65325) = 3
LCM(65307,65325) = ( 65307 × 65325) / 3
LCM(65307,65325) = 4266179775 / 3
LCM(65307,65325) = 1422059925

Least Common Multiple (LCM) of 65307 and 65325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65307 and 65325. First we will calculate the prime factors of 65307 and 65325.

Prime Factorization of 65307

Prime Factorization of 65325

Now multiplying the highest exponent prime factors to calculate the LCM of 65307 and 65325.

LCM(65307,65325) = 3¹ × 11¹ × 1979¹ × 5² × 13¹ × 67¹
LCM(65307,65325) = 1422059925