What is the Least Common Multiple of 54315 and 54320?

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 54315 and 54320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54315 and 54320, than apply into the LCM equation.

GCF(54315,54320) = 5
LCM(54315,54320) = ( 54315 × 54320) / 5
LCM(54315,54320) = 2950390800 / 5
LCM(54315,54320) = 590078160

Least Common Multiple (LCM) of 54315 and 54320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54315 and 54320. First we will calculate the prime factors of 54315 and 54320.

Prime Factorization of 54315

Prime Factorization of 54320

Now multiplying the highest exponent prime factors to calculate the LCM of 54315 and 54320.

LCM(54315,54320) = 3² × 5¹ × 17¹ × 71¹ × 2⁴ × 7¹ × 97¹
LCM(54315,54320) = 590078160