What is the Least Common Multiple of 65493 and 65512?

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 65493 and 65512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65493 and 65512, than apply into the LCM equation.

GCF(65493,65512) = 19
LCM(65493,65512) = ( 65493 × 65512) / 19
LCM(65493,65512) = 4290577416 / 19
LCM(65493,65512) = 225819864

Least Common Multiple (LCM) of 65493 and 65512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65493 and 65512. First we will calculate the prime factors of 65493 and 65512.

Prime Factorization of 65493

Prime Factorization of 65512

Now multiplying the highest exponent prime factors to calculate the LCM of 65493 and 65512.

LCM(65493,65512) = 3² × 19¹ × 383¹ × 2³ × 431¹
LCM(65493,65512) = 225819864