What is the Least Common Multiple of 72399 and 72417?

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 72399 and 72417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72399 and 72417, than apply into the LCM equation.

GCF(72399,72417) = 3
LCM(72399,72417) = ( 72399 × 72417) / 3
LCM(72399,72417) = 5242918383 / 3
LCM(72399,72417) = 1747639461

Least Common Multiple (LCM) of 72399 and 72417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72399 and 72417. First we will calculate the prime factors of 72399 and 72417.

Prime Factorization of 72399

Prime Factorization of 72417

Now multiplying the highest exponent prime factors to calculate the LCM of 72399 and 72417.

LCM(72399,72417) = 3¹ × 24133¹ × 101¹ × 239¹
LCM(72399,72417) = 1747639461