What is the Least Common Multiple of 65457 and 65472?

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 65472 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 65472, than apply into the LCM equation.

GCF(65457,65472) = 3
LCM(65457,65472) = ( 65457 × 65472) / 3
LCM(65457,65472) = 4285600704 / 3
LCM(65457,65472) = 1428533568

Least Common Multiple (LCM) of 65457 and 65472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65457 and 65472. First we will calculate the prime factors of 65457 and 65472.

Prime Factorization of 65457

Prime Factorization of 65472

Now multiplying the highest exponent prime factors to calculate the LCM of 65457 and 65472.

LCM(65457,65472) = 3² × 7¹ × 1039¹ × 2⁶ × 11¹ × 31¹
LCM(65457,65472) = 1428533568