What is the Least Common Multiple of 55514 and 55529?

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 55514 and 55529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55514 and 55529, than apply into the LCM equation.

GCF(55514,55529) = 1
LCM(55514,55529) = ( 55514 × 55529) / 1
LCM(55514,55529) = 3082636906 / 1
LCM(55514,55529) = 3082636906

Least Common Multiple (LCM) of 55514 and 55529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55514 and 55529. First we will calculate the prime factors of 55514 and 55529.

Prime Factorization of 55514

Prime Factorization of 55529

Now multiplying the highest exponent prime factors to calculate the LCM of 55514 and 55529.

LCM(55514,55529) = 2¹ × 41¹ × 677¹ × 55529¹
LCM(55514,55529) = 3082636906