What is the Least Common Multiple of 11550 and 11564?

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 11550 and 11564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11550 and 11564, than apply into the LCM equation.

GCF(11550,11564) = 14
LCM(11550,11564) = ( 11550 × 11564) / 14
LCM(11550,11564) = 133564200 / 14
LCM(11550,11564) = 9540300

Least Common Multiple (LCM) of 11550 and 11564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11550 and 11564. First we will calculate the prime factors of 11550 and 11564.

Prime Factorization of 11550

Prime Factorization of 11564

Now multiplying the highest exponent prime factors to calculate the LCM of 11550 and 11564.

LCM(11550,11564) = 2² × 3¹ × 5² × 7² × 11¹ × 59¹
LCM(11550,11564) = 9540300