What is the Least Common Multiple of 5514 and 5523?

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 5514 and 5523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5514 and 5523, than apply into the LCM equation.

GCF(5514,5523) = 3
LCM(5514,5523) = ( 5514 × 5523) / 3
LCM(5514,5523) = 30453822 / 3
LCM(5514,5523) = 10151274

Least Common Multiple (LCM) of 5514 and 5523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5514 and 5523. First we will calculate the prime factors of 5514 and 5523.

Prime Factorization of 5514

Prime Factorization of 5523

Now multiplying the highest exponent prime factors to calculate the LCM of 5514 and 5523.

LCM(5514,5523) = 2¹ × 3¹ × 919¹ × 7¹ × 263¹
LCM(5514,5523) = 10151274