What is the Least Common Multiple of 54288 and 54296?

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 54296 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 54296, than apply into the LCM equation.

GCF(54288,54296) = 8
LCM(54288,54296) = ( 54288 × 54296) / 8
LCM(54288,54296) = 2947621248 / 8
LCM(54288,54296) = 368452656

Least Common Multiple (LCM) of 54288 and 54296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54288 and 54296. First we will calculate the prime factors of 54288 and 54296.

Prime Factorization of 54288

Prime Factorization of 54296

Now multiplying the highest exponent prime factors to calculate the LCM of 54288 and 54296.

LCM(54288,54296) = 2⁴ × 3² × 13¹ × 29¹ × 11¹ × 617¹
LCM(54288,54296) = 368452656