What is the Least Common Multiple of 72369 and 72386?

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 72369 and 72386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72369 and 72386, than apply into the LCM equation.

GCF(72369,72386) = 17
LCM(72369,72386) = ( 72369 × 72386) / 17
LCM(72369,72386) = 5238502434 / 17
LCM(72369,72386) = 308147202

Least Common Multiple (LCM) of 72369 and 72386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72369 and 72386. First we will calculate the prime factors of 72369 and 72386.

Prime Factorization of 72369

Prime Factorization of 72386

Now multiplying the highest exponent prime factors to calculate the LCM of 72369 and 72386.

LCM(72369,72386) = 3² × 11¹ × 17¹ × 43¹ × 2¹ × 2129¹
LCM(72369,72386) = 308147202