What is the Least Common Multiple of 54230 and 54241?

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 54230 and 54241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54230 and 54241, than apply into the LCM equation.

GCF(54230,54241) = 11
LCM(54230,54241) = ( 54230 × 54241) / 11
LCM(54230,54241) = 2941489430 / 11
LCM(54230,54241) = 267408130

Least Common Multiple (LCM) of 54230 and 54241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54230 and 54241. First we will calculate the prime factors of 54230 and 54241.

Prime Factorization of 54230

Prime Factorization of 54241

Now multiplying the highest exponent prime factors to calculate the LCM of 54230 and 54241.

LCM(54230,54241) = 2¹ × 5¹ × 11¹ × 17¹ × 29¹ × 4931¹
LCM(54230,54241) = 267408130