What is the Least Common Multiple of 17523 and 17532?

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 17523 and 17532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17523 and 17532, than apply into the LCM equation.

GCF(17523,17532) = 9
LCM(17523,17532) = ( 17523 × 17532) / 9
LCM(17523,17532) = 307213236 / 9
LCM(17523,17532) = 34134804

Least Common Multiple (LCM) of 17523 and 17532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17523 and 17532. First we will calculate the prime factors of 17523 and 17532.

Prime Factorization of 17523

Prime Factorization of 17532

Now multiplying the highest exponent prime factors to calculate the LCM of 17523 and 17532.

LCM(17523,17532) = 3³ × 11¹ × 59¹ × 2² × 487¹
LCM(17523,17532) = 34134804