What is the Least Common Multiple of 60384 and 60389?

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 60384 and 60389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60384 and 60389, than apply into the LCM equation.

GCF(60384,60389) = 1
LCM(60384,60389) = ( 60384 × 60389) / 1
LCM(60384,60389) = 3646529376 / 1
LCM(60384,60389) = 3646529376

Least Common Multiple (LCM) of 60384 and 60389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60384 and 60389. First we will calculate the prime factors of 60384 and 60389.

Prime Factorization of 60384

Prime Factorization of 60389

Now multiplying the highest exponent prime factors to calculate the LCM of 60384 and 60389.

LCM(60384,60389) = 2⁵ × 3¹ × 17¹ × 37¹ × 7¹ × 8627¹
LCM(60384,60389) = 3646529376