What is the Least Common Multiple of 78369 and 78384?

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 78369 and 78384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78369 and 78384, than apply into the LCM equation.

GCF(78369,78384) = 3
LCM(78369,78384) = ( 78369 × 78384) / 3
LCM(78369,78384) = 6142875696 / 3
LCM(78369,78384) = 2047625232

Least Common Multiple (LCM) of 78369 and 78384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78369 and 78384. First we will calculate the prime factors of 78369 and 78384.

Prime Factorization of 78369

Prime Factorization of 78384

Now multiplying the highest exponent prime factors to calculate the LCM of 78369 and 78384.

LCM(78369,78384) = 3¹ × 151¹ × 173¹ × 2⁴ × 23¹ × 71¹
LCM(78369,78384) = 2047625232