What is the Least Common Multiple of 65395 and 65405?

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 65395 and 65405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65395 and 65405, than apply into the LCM equation.

GCF(65395,65405) = 5
LCM(65395,65405) = ( 65395 × 65405) / 5
LCM(65395,65405) = 4277159975 / 5
LCM(65395,65405) = 855431995

Least Common Multiple (LCM) of 65395 and 65405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65395 and 65405. First we will calculate the prime factors of 65395 and 65405.

Prime Factorization of 65395

Prime Factorization of 65405

Now multiplying the highest exponent prime factors to calculate the LCM of 65395 and 65405.

LCM(65395,65405) = 5¹ × 11¹ × 29¹ × 41¹ × 103¹ × 127¹
LCM(65395,65405) = 855431995