What is the Least Common Multiple of 22529 and 22547?

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 22529 and 22547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22529 and 22547, than apply into the LCM equation.

GCF(22529,22547) = 1
LCM(22529,22547) = ( 22529 × 22547) / 1
LCM(22529,22547) = 507961363 / 1
LCM(22529,22547) = 507961363

Least Common Multiple (LCM) of 22529 and 22547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22529 and 22547. First we will calculate the prime factors of 22529 and 22547.

Prime Factorization of 22529

Prime Factorization of 22547

Now multiplying the highest exponent prime factors to calculate the LCM of 22529 and 22547.

LCM(22529,22547) = 13¹ × 1733¹ × 7¹ × 3221¹
LCM(22529,22547) = 507961363