What is the Least Common Multiple of 5514 and 5531?

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 5531 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 5531, than apply into the LCM equation.

GCF(5514,5531) = 1
LCM(5514,5531) = ( 5514 × 5531) / 1
LCM(5514,5531) = 30497934 / 1
LCM(5514,5531) = 30497934

Least Common Multiple (LCM) of 5514 and 5531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5514 and 5531. First we will calculate the prime factors of 5514 and 5531.

Prime Factorization of 5514

Prime Factorization of 5531

Now multiplying the highest exponent prime factors to calculate the LCM of 5514 and 5531.

LCM(5514,5531) = 2¹ × 3¹ × 919¹ × 5531¹
LCM(5514,5531) = 30497934