What is the Least Common Multiple of 11232 and 11252?

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 11232 and 11252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11232 and 11252, than apply into the LCM equation.

GCF(11232,11252) = 4
LCM(11232,11252) = ( 11232 × 11252) / 4
LCM(11232,11252) = 126382464 / 4
LCM(11232,11252) = 31595616

Least Common Multiple (LCM) of 11232 and 11252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11232 and 11252. First we will calculate the prime factors of 11232 and 11252.

Prime Factorization of 11232

Prime Factorization of 11252

Now multiplying the highest exponent prime factors to calculate the LCM of 11232 and 11252.

LCM(11232,11252) = 2⁵ × 3³ × 13¹ × 29¹ × 97¹
LCM(11232,11252) = 31595616