What is the Least Common Multiple of 11214 and 11232?

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 11214 and 11232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11214 and 11232, than apply into the LCM equation.

GCF(11214,11232) = 18
LCM(11214,11232) = ( 11214 × 11232) / 18
LCM(11214,11232) = 125955648 / 18
LCM(11214,11232) = 6997536

Least Common Multiple (LCM) of 11214 and 11232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11214 and 11232. First we will calculate the prime factors of 11214 and 11232.

Prime Factorization of 11214

Prime Factorization of 11232

Now multiplying the highest exponent prime factors to calculate the LCM of 11214 and 11232.

LCM(11214,11232) = 2⁵ × 3³ × 7¹ × 89¹ × 13¹
LCM(11214,11232) = 6997536