What is the Least Common Multiple of 48384 and 48398?

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 48384 and 48398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48384 and 48398, than apply into the LCM equation.

GCF(48384,48398) = 14
LCM(48384,48398) = ( 48384 × 48398) / 14
LCM(48384,48398) = 2341688832 / 14
LCM(48384,48398) = 167263488

Least Common Multiple (LCM) of 48384 and 48398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48384 and 48398. First we will calculate the prime factors of 48384 and 48398.

Prime Factorization of 48384

Prime Factorization of 48398

Now multiplying the highest exponent prime factors to calculate the LCM of 48384 and 48398.

LCM(48384,48398) = 2⁸ × 3³ × 7¹ × 3457¹
LCM(48384,48398) = 167263488