What is the Least Common Multiple of 4364 and 4384?

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 4364 and 4384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4364 and 4384, than apply into the LCM equation.

GCF(4364,4384) = 4
LCM(4364,4384) = ( 4364 × 4384) / 4
LCM(4364,4384) = 19131776 / 4
LCM(4364,4384) = 4782944

Least Common Multiple (LCM) of 4364 and 4384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4364 and 4384. First we will calculate the prime factors of 4364 and 4384.

Prime Factorization of 4364

Prime Factorization of 4384

Now multiplying the highest exponent prime factors to calculate the LCM of 4364 and 4384.

LCM(4364,4384) = 2⁵ × 1091¹ × 137¹
LCM(4364,4384) = 4782944