What is the Least Common Multiple of 11040 and 11049?

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 11040 and 11049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11040 and 11049, than apply into the LCM equation.

GCF(11040,11049) = 3
LCM(11040,11049) = ( 11040 × 11049) / 3
LCM(11040,11049) = 121980960 / 3
LCM(11040,11049) = 40660320

Least Common Multiple (LCM) of 11040 and 11049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11040 and 11049. First we will calculate the prime factors of 11040 and 11049.

Prime Factorization of 11040

Prime Factorization of 11049

Now multiplying the highest exponent prime factors to calculate the LCM of 11040 and 11049.

LCM(11040,11049) = 2⁵ × 3¹ × 5¹ × 23¹ × 29¹ × 127¹
LCM(11040,11049) = 40660320