What is the Least Common Multiple of 53514 and 53531?

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 53514 and 53531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53514 and 53531, than apply into the LCM equation.

GCF(53514,53531) = 1
LCM(53514,53531) = ( 53514 × 53531) / 1
LCM(53514,53531) = 2864657934 / 1
LCM(53514,53531) = 2864657934

Least Common Multiple (LCM) of 53514 and 53531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53514 and 53531. First we will calculate the prime factors of 53514 and 53531.

Prime Factorization of 53514

Prime Factorization of 53531

Now multiplying the highest exponent prime factors to calculate the LCM of 53514 and 53531.

LCM(53514,53531) = 2¹ × 3³ × 991¹ × 199¹ × 269¹
LCM(53514,53531) = 2864657934