What is the Least Common Multiple of 5523 and 5543?

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 5523 and 5543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5523 and 5543, than apply into the LCM equation.

GCF(5523,5543) = 1
LCM(5523,5543) = ( 5523 × 5543) / 1
LCM(5523,5543) = 30613989 / 1
LCM(5523,5543) = 30613989

Least Common Multiple (LCM) of 5523 and 5543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5523 and 5543. First we will calculate the prime factors of 5523 and 5543.

Prime Factorization of 5523

Prime Factorization of 5543

Now multiplying the highest exponent prime factors to calculate the LCM of 5523 and 5543.

LCM(5523,5543) = 3¹ × 7¹ × 263¹ × 23¹ × 241¹
LCM(5523,5543) = 30613989