What is the Least Common Multiple of 54200 and 54205?

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 54200 and 54205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54200 and 54205, than apply into the LCM equation.

GCF(54200,54205) = 5
LCM(54200,54205) = ( 54200 × 54205) / 5
LCM(54200,54205) = 2937911000 / 5
LCM(54200,54205) = 587582200

Least Common Multiple (LCM) of 54200 and 54205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54200 and 54205. First we will calculate the prime factors of 54200 and 54205.

Prime Factorization of 54200

Prime Factorization of 54205

Now multiplying the highest exponent prime factors to calculate the LCM of 54200 and 54205.

LCM(54200,54205) = 2³ × 5² × 271¹ × 37¹ × 293¹
LCM(54200,54205) = 587582200