What is the Least Common Multiple of 48789 and 48804?

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 48789 and 48804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48789 and 48804, than apply into the LCM equation.

GCF(48789,48804) = 3
LCM(48789,48804) = ( 48789 × 48804) / 3
LCM(48789,48804) = 2381098356 / 3
LCM(48789,48804) = 793699452

Least Common Multiple (LCM) of 48789 and 48804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48789 and 48804. First we will calculate the prime factors of 48789 and 48804.

Prime Factorization of 48789

Prime Factorization of 48804

Now multiplying the highest exponent prime factors to calculate the LCM of 48789 and 48804.

LCM(48789,48804) = 3³ × 13¹ × 139¹ × 2² × 7² × 83¹
LCM(48789,48804) = 793699452