What is the Least Common Multiple of 93840 and 93856?

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 93840 and 93856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93840 and 93856, than apply into the LCM equation.

GCF(93840,93856) = 16
LCM(93840,93856) = ( 93840 × 93856) / 16
LCM(93840,93856) = 8807447040 / 16
LCM(93840,93856) = 550465440

Least Common Multiple (LCM) of 93840 and 93856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93840 and 93856. First we will calculate the prime factors of 93840 and 93856.

Prime Factorization of 93840

Prime Factorization of 93856

Now multiplying the highest exponent prime factors to calculate the LCM of 93840 and 93856.

LCM(93840,93856) = 2⁵ × 3¹ × 5¹ × 17¹ × 23¹ × 7¹ × 419¹
LCM(93840,93856) = 550465440