What is the Least Common Multiple of 65457 and 65471?

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 65457 and 65471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65457 and 65471, than apply into the LCM equation.

GCF(65457,65471) = 7
LCM(65457,65471) = ( 65457 × 65471) / 7
LCM(65457,65471) = 4285535247 / 7
LCM(65457,65471) = 612219321

Least Common Multiple (LCM) of 65457 and 65471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65457 and 65471. First we will calculate the prime factors of 65457 and 65471.

Prime Factorization of 65457

Prime Factorization of 65471

Now multiplying the highest exponent prime factors to calculate the LCM of 65457 and 65471.

LCM(65457,65471) = 3² × 7¹ × 1039¹ × 47¹ × 199¹
LCM(65457,65471) = 612219321