What is the Least Common Multiple of 22514 and 22531?

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 22514 and 22531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22514 and 22531, than apply into the LCM equation.

GCF(22514,22531) = 1
LCM(22514,22531) = ( 22514 × 22531) / 1
LCM(22514,22531) = 507262934 / 1
LCM(22514,22531) = 507262934

Least Common Multiple (LCM) of 22514 and 22531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22514 and 22531. First we will calculate the prime factors of 22514 and 22531.

Prime Factorization of 22514

Prime Factorization of 22531

Now multiplying the highest exponent prime factors to calculate the LCM of 22514 and 22531.

LCM(22514,22531) = 2¹ × 11257¹ × 22531¹
LCM(22514,22531) = 507262934