What is the Least Common Multiple of 65468 and 65487?

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 65468 and 65487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65468 and 65487, than apply into the LCM equation.

GCF(65468,65487) = 1
LCM(65468,65487) = ( 65468 × 65487) / 1
LCM(65468,65487) = 4287302916 / 1
LCM(65468,65487) = 4287302916

Least Common Multiple (LCM) of 65468 and 65487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65468 and 65487. First we will calculate the prime factors of 65468 and 65487.

Prime Factorization of 65468

Prime Factorization of 65487

Now multiplying the highest exponent prime factors to calculate the LCM of 65468 and 65487.

LCM(65468,65487) = 2² × 13¹ × 1259¹ × 3¹ × 83¹ × 263¹
LCM(65468,65487) = 4287302916