What is the Least Common Multiple of 11535 and 11549?

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 11535 and 11549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11535 and 11549, than apply into the LCM equation.

GCF(11535,11549) = 1
LCM(11535,11549) = ( 11535 × 11549) / 1
LCM(11535,11549) = 133217715 / 1
LCM(11535,11549) = 133217715

Least Common Multiple (LCM) of 11535 and 11549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11535 and 11549. First we will calculate the prime factors of 11535 and 11549.

Prime Factorization of 11535

Prime Factorization of 11549

Now multiplying the highest exponent prime factors to calculate the LCM of 11535 and 11549.

LCM(11535,11549) = 3¹ × 5¹ × 769¹ × 11549¹
LCM(11535,11549) = 133217715