What is the Least Common Multiple of 29244 and 29248?

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 29244 and 29248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29244 and 29248, than apply into the LCM equation.

GCF(29244,29248) = 4
LCM(29244,29248) = ( 29244 × 29248) / 4
LCM(29244,29248) = 855328512 / 4
LCM(29244,29248) = 213832128

Least Common Multiple (LCM) of 29244 and 29248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29244 and 29248. First we will calculate the prime factors of 29244 and 29248.

Prime Factorization of 29244

Prime Factorization of 29248

Now multiplying the highest exponent prime factors to calculate the LCM of 29244 and 29248.

LCM(29244,29248) = 2⁶ × 3¹ × 2437¹ × 457¹
LCM(29244,29248) = 213832128