What is the Least Common Multiple of 47368 and 47384?

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 47368 and 47384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47368 and 47384, than apply into the LCM equation.

GCF(47368,47384) = 8
LCM(47368,47384) = ( 47368 × 47384) / 8
LCM(47368,47384) = 2244485312 / 8
LCM(47368,47384) = 280560664

Least Common Multiple (LCM) of 47368 and 47384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47368 and 47384. First we will calculate the prime factors of 47368 and 47384.

Prime Factorization of 47368

Prime Factorization of 47384

Now multiplying the highest exponent prime factors to calculate the LCM of 47368 and 47384.

LCM(47368,47384) = 2³ × 31¹ × 191¹ × 5923¹
LCM(47368,47384) = 280560664