What is the Least Common Multiple of 11224 and 11236?

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 11224 and 11236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11224 and 11236, than apply into the LCM equation.

GCF(11224,11236) = 4
LCM(11224,11236) = ( 11224 × 11236) / 4
LCM(11224,11236) = 126112864 / 4
LCM(11224,11236) = 31528216

Least Common Multiple (LCM) of 11224 and 11236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11224 and 11236. First we will calculate the prime factors of 11224 and 11236.

Prime Factorization of 11224

Prime Factorization of 11236

Now multiplying the highest exponent prime factors to calculate the LCM of 11224 and 11236.

LCM(11224,11236) = 2³ × 23¹ × 61¹ × 53²
LCM(11224,11236) = 31528216