What is the Least Common Multiple of 54288 and 54307?

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 54307 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 54307, than apply into the LCM equation.

GCF(54288,54307) = 1
LCM(54288,54307) = ( 54288 × 54307) / 1
LCM(54288,54307) = 2948218416 / 1
LCM(54288,54307) = 2948218416

Least Common Multiple (LCM) of 54288 and 54307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54288 and 54307. First we will calculate the prime factors of 54288 and 54307.

Prime Factorization of 54288

Prime Factorization of 54307

Now multiplying the highest exponent prime factors to calculate the LCM of 54288 and 54307.

LCM(54288,54307) = 2⁴ × 3² × 13¹ × 29¹ × 11¹ × 4937¹
LCM(54288,54307) = 2948218416