What is the Least Common Multiple of 72423 and 72433?

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 72423 and 72433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72423 and 72433, than apply into the LCM equation.

GCF(72423,72433) = 1
LCM(72423,72433) = ( 72423 × 72433) / 1
LCM(72423,72433) = 5245815159 / 1
LCM(72423,72433) = 5245815159

Least Common Multiple (LCM) of 72423 and 72433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72423 and 72433. First we will calculate the prime factors of 72423 and 72433.

Prime Factorization of 72423

Prime Factorization of 72433

Now multiplying the highest exponent prime factors to calculate the LCM of 72423 and 72433.

LCM(72423,72433) = 3² × 13¹ × 619¹ × 113¹ × 641¹
LCM(72423,72433) = 5245815159