What is the Least Common Multiple of 5523 and 5540?

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 5540 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 5540, than apply into the LCM equation.

GCF(5523,5540) = 1
LCM(5523,5540) = ( 5523 × 5540) / 1
LCM(5523,5540) = 30597420 / 1
LCM(5523,5540) = 30597420

Least Common Multiple (LCM) of 5523 and 5540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5523 and 5540. First we will calculate the prime factors of 5523 and 5540.

Prime Factorization of 5523

Prime Factorization of 5540

Now multiplying the highest exponent prime factors to calculate the LCM of 5523 and 5540.

LCM(5523,5540) = 3¹ × 7¹ × 263¹ × 2² × 5¹ × 277¹
LCM(5523,5540) = 30597420