What is the Least Common Multiple of 67239 and 67251?

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 67251 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 67251, than apply into the LCM equation.

GCF(67239,67251) = 3
LCM(67239,67251) = ( 67239 × 67251) / 3
LCM(67239,67251) = 4521889989 / 3
LCM(67239,67251) = 1507296663

Least Common Multiple (LCM) of 67239 and 67251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67239 and 67251. First we will calculate the prime factors of 67239 and 67251.

Prime Factorization of 67239

Prime Factorization of 67251

Now multiplying the highest exponent prime factors to calculate the LCM of 67239 and 67251.

LCM(67239,67251) = 3² × 31¹ × 241¹ × 29¹ × 773¹
LCM(67239,67251) = 1507296663