What is the Least Common Multiple of 54250 and 54255?

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 54250 and 54255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54250 and 54255, than apply into the LCM equation.

GCF(54250,54255) = 5
LCM(54250,54255) = ( 54250 × 54255) / 5
LCM(54250,54255) = 2943333750 / 5
LCM(54250,54255) = 588666750

Least Common Multiple (LCM) of 54250 and 54255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54250 and 54255. First we will calculate the prime factors of 54250 and 54255.

Prime Factorization of 54250

Prime Factorization of 54255

Now multiplying the highest exponent prime factors to calculate the LCM of 54250 and 54255.

LCM(54250,54255) = 2¹ × 5³ × 7¹ × 31¹ × 3¹ × 3617¹
LCM(54250,54255) = 588666750