What is the Least Common Multiple of 54288 and 54299?

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 54288 and 54299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54288 and 54299, than apply into the LCM equation.

GCF(54288,54299) = 1
LCM(54288,54299) = ( 54288 × 54299) / 1
LCM(54288,54299) = 2947784112 / 1
LCM(54288,54299) = 2947784112

Least Common Multiple (LCM) of 54288 and 54299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54288 and 54299. First we will calculate the prime factors of 54288 and 54299.

Prime Factorization of 54288

Prime Factorization of 54299

Now multiplying the highest exponent prime factors to calculate the LCM of 54288 and 54299.

LCM(54288,54299) = 2⁴ × 3² × 13¹ × 29¹ × 7¹ × 7757¹
LCM(54288,54299) = 2947784112