What is the Least Common Multiple of 65385 and 65403?

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 65385 and 65403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65385 and 65403, than apply into the LCM equation.

GCF(65385,65403) = 9
LCM(65385,65403) = ( 65385 × 65403) / 9
LCM(65385,65403) = 4276375155 / 9
LCM(65385,65403) = 475152795

Least Common Multiple (LCM) of 65385 and 65403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65385 and 65403. First we will calculate the prime factors of 65385 and 65403.

Prime Factorization of 65385

Prime Factorization of 65403

Now multiplying the highest exponent prime factors to calculate the LCM of 65385 and 65403.

LCM(65385,65403) = 3² × 5¹ × 1453¹ × 13² × 43¹
LCM(65385,65403) = 475152795