What is the Least Common Multiple of 54227 and 54242?

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 54227 and 54242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54227 and 54242, than apply into the LCM equation.

GCF(54227,54242) = 1
LCM(54227,54242) = ( 54227 × 54242) / 1
LCM(54227,54242) = 2941380934 / 1
LCM(54227,54242) = 2941380934

Least Common Multiple (LCM) of 54227 and 54242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54227 and 54242. First we will calculate the prime factors of 54227 and 54242.

Prime Factorization of 54227

Prime Factorization of 54242

Now multiplying the highest exponent prime factors to calculate the LCM of 54227 and 54242.

LCM(54227,54242) = 211¹ × 257¹ × 2¹ × 37¹ × 733¹
LCM(54227,54242) = 2941380934