What is the Least Common Multiple of 54229 and 54238?

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 54229 and 54238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54229 and 54238, than apply into the LCM equation.

GCF(54229,54238) = 1
LCM(54229,54238) = ( 54229 × 54238) / 1
LCM(54229,54238) = 2941272502 / 1
LCM(54229,54238) = 2941272502

Least Common Multiple (LCM) of 54229 and 54238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54229 and 54238. First we will calculate the prime factors of 54229 and 54238.

Prime Factorization of 54229

Prime Factorization of 54238

Now multiplying the highest exponent prime factors to calculate the LCM of 54229 and 54238.

LCM(54229,54238) = 7¹ × 61¹ × 127¹ × 2¹ × 47¹ × 577¹
LCM(54229,54238) = 2941272502