What is the Least Common Multiple of 5492 and 5511?

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 5492 and 5511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5492 and 5511, than apply into the LCM equation.

GCF(5492,5511) = 1
LCM(5492,5511) = ( 5492 × 5511) / 1
LCM(5492,5511) = 30266412 / 1
LCM(5492,5511) = 30266412

Least Common Multiple (LCM) of 5492 and 5511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5492 and 5511. First we will calculate the prime factors of 5492 and 5511.

Prime Factorization of 5492

Prime Factorization of 5511

Now multiplying the highest exponent prime factors to calculate the LCM of 5492 and 5511.

LCM(5492,5511) = 2² × 1373¹ × 3¹ × 11¹ × 167¹
LCM(5492,5511) = 30266412