What is the Least Common Multiple of 67239 and 67257?

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 67239 and 67257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67239 and 67257, than apply into the LCM equation.

GCF(67239,67257) = 9
LCM(67239,67257) = ( 67239 × 67257) / 9
LCM(67239,67257) = 4522293423 / 9
LCM(67239,67257) = 502477047

Least Common Multiple (LCM) of 67239 and 67257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67239 and 67257. First we will calculate the prime factors of 67239 and 67257.

Prime Factorization of 67239

Prime Factorization of 67257

Now multiplying the highest exponent prime factors to calculate the LCM of 67239 and 67257.

LCM(67239,67257) = 3³ × 31¹ × 241¹ × 47¹ × 53¹
LCM(67239,67257) = 502477047