What is the Least Common Multiple of 48288 and 48306?

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 48288 and 48306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48288 and 48306, than apply into the LCM equation.

GCF(48288,48306) = 6
LCM(48288,48306) = ( 48288 × 48306) / 6
LCM(48288,48306) = 2332600128 / 6
LCM(48288,48306) = 388766688

Least Common Multiple (LCM) of 48288 and 48306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48288 and 48306. First we will calculate the prime factors of 48288 and 48306.

Prime Factorization of 48288

Prime Factorization of 48306

Now multiplying the highest exponent prime factors to calculate the LCM of 48288 and 48306.

LCM(48288,48306) = 2⁵ × 3¹ × 503¹ × 83¹ × 97¹
LCM(48288,48306) = 388766688