What is the Least Common Multiple of 63512 and 63529?

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 63512 and 63529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63512 and 63529, than apply into the LCM equation.

GCF(63512,63529) = 17
LCM(63512,63529) = ( 63512 × 63529) / 17
LCM(63512,63529) = 4034853848 / 17
LCM(63512,63529) = 237344344

Least Common Multiple (LCM) of 63512 and 63529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63512 and 63529. First we will calculate the prime factors of 63512 and 63529.

Prime Factorization of 63512

Prime Factorization of 63529

Now multiplying the highest exponent prime factors to calculate the LCM of 63512 and 63529.

LCM(63512,63529) = 2³ × 17¹ × 467¹ × 37¹ × 101¹
LCM(63512,63529) = 237344344