What is the Least Common Multiple of 11424 and 11436?

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 11424 and 11436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11424 and 11436, than apply into the LCM equation.

GCF(11424,11436) = 12
LCM(11424,11436) = ( 11424 × 11436) / 12
LCM(11424,11436) = 130644864 / 12
LCM(11424,11436) = 10887072

Least Common Multiple (LCM) of 11424 and 11436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11424 and 11436. First we will calculate the prime factors of 11424 and 11436.

Prime Factorization of 11424

Prime Factorization of 11436

Now multiplying the highest exponent prime factors to calculate the LCM of 11424 and 11436.

LCM(11424,11436) = 2⁵ × 3¹ × 7¹ × 17¹ × 953¹
LCM(11424,11436) = 10887072