What is the Least Common Multiple of 48784 and 48789?

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 48784 and 48789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48784 and 48789, than apply into the LCM equation.

GCF(48784,48789) = 1
LCM(48784,48789) = ( 48784 × 48789) / 1
LCM(48784,48789) = 2380122576 / 1
LCM(48784,48789) = 2380122576

Least Common Multiple (LCM) of 48784 and 48789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48784 and 48789. First we will calculate the prime factors of 48784 and 48789.

Prime Factorization of 48784

Prime Factorization of 48789

Now multiplying the highest exponent prime factors to calculate the LCM of 48784 and 48789.

LCM(48784,48789) = 2⁴ × 3049¹ × 3³ × 13¹ × 139¹
LCM(48784,48789) = 2380122576