What is the Least Common Multiple of 29248 and 29252?

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 29248 and 29252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29248 and 29252, than apply into the LCM equation.

GCF(29248,29252) = 4
LCM(29248,29252) = ( 29248 × 29252) / 4
LCM(29248,29252) = 855562496 / 4
LCM(29248,29252) = 213890624

Least Common Multiple (LCM) of 29248 and 29252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29248 and 29252. First we will calculate the prime factors of 29248 and 29252.

Prime Factorization of 29248

Prime Factorization of 29252

Now multiplying the highest exponent prime factors to calculate the LCM of 29248 and 29252.

LCM(29248,29252) = 2⁶ × 457¹ × 71¹ × 103¹
LCM(29248,29252) = 213890624