What is the Least Common Multiple of 72369 and 72378?

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 72378 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 72378, than apply into the LCM equation.

GCF(72369,72378) = 9
LCM(72369,72378) = ( 72369 × 72378) / 9
LCM(72369,72378) = 5237923482 / 9
LCM(72369,72378) = 581991498

Least Common Multiple (LCM) of 72369 and 72378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72369 and 72378. First we will calculate the prime factors of 72369 and 72378.

Prime Factorization of 72369

Prime Factorization of 72378

Now multiplying the highest exponent prime factors to calculate the LCM of 72369 and 72378.

LCM(72369,72378) = 3² × 11¹ × 17¹ × 43¹ × 2¹ × 4021¹
LCM(72369,72378) = 581991498