What is the Least Common Multiple of 54239 and 54248?

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 54239 and 54248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54239 and 54248, than apply into the LCM equation.

GCF(54239,54248) = 1
LCM(54239,54248) = ( 54239 × 54248) / 1
LCM(54239,54248) = 2942357272 / 1
LCM(54239,54248) = 2942357272

Least Common Multiple (LCM) of 54239 and 54248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54239 and 54248. First we will calculate the prime factors of 54239 and 54248.

Prime Factorization of 54239

Prime Factorization of 54248

Now multiplying the highest exponent prime factors to calculate the LCM of 54239 and 54248.

LCM(54239,54248) = 73¹ × 743¹ × 2³ × 6781¹
LCM(54239,54248) = 2942357272