What is the Least Common Multiple of 14512 and 14531?

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 14512 and 14531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14512 and 14531, than apply into the LCM equation.

GCF(14512,14531) = 1
LCM(14512,14531) = ( 14512 × 14531) / 1
LCM(14512,14531) = 210873872 / 1
LCM(14512,14531) = 210873872

Least Common Multiple (LCM) of 14512 and 14531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14512 and 14531. First we will calculate the prime factors of 14512 and 14531.

Prime Factorization of 14512

Prime Factorization of 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 14512 and 14531.

LCM(14512,14531) = 2⁴ × 907¹ × 11¹ × 1321¹
LCM(14512,14531) = 210873872