What is the Least Common Multiple of 11544 and 11553?

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 11544 and 11553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11544 and 11553, than apply into the LCM equation.

GCF(11544,11553) = 3
LCM(11544,11553) = ( 11544 × 11553) / 3
LCM(11544,11553) = 133367832 / 3
LCM(11544,11553) = 44455944

Least Common Multiple (LCM) of 11544 and 11553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11544 and 11553. First we will calculate the prime factors of 11544 and 11553.

Prime Factorization of 11544

Prime Factorization of 11553

Now multiplying the highest exponent prime factors to calculate the LCM of 11544 and 11553.

LCM(11544,11553) = 2³ × 3¹ × 13¹ × 37¹ × 3851¹
LCM(11544,11553) = 44455944