What is the Least Common Multiple of 61524 and 61531?

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 61524 and 61531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61524 and 61531, than apply into the LCM equation.

GCF(61524,61531) = 1
LCM(61524,61531) = ( 61524 × 61531) / 1
LCM(61524,61531) = 3785633244 / 1
LCM(61524,61531) = 3785633244

Least Common Multiple (LCM) of 61524 and 61531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61524 and 61531. First we will calculate the prime factors of 61524 and 61531.

Prime Factorization of 61524

Prime Factorization of 61531

Now multiplying the highest exponent prime factors to calculate the LCM of 61524 and 61531.

LCM(61524,61531) = 2² × 3² × 1709¹ × 37¹ × 1663¹
LCM(61524,61531) = 3785633244