What is the Least Common Multiple of 23529 and 23547?

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 23529 and 23547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23529 and 23547, than apply into the LCM equation.

GCF(23529,23547) = 3
LCM(23529,23547) = ( 23529 × 23547) / 3
LCM(23529,23547) = 554037363 / 3
LCM(23529,23547) = 184679121

Least Common Multiple (LCM) of 23529 and 23547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23529 and 23547. First we will calculate the prime factors of 23529 and 23547.

Prime Factorization of 23529

Prime Factorization of 23547

Now multiplying the highest exponent prime factors to calculate the LCM of 23529 and 23547.

LCM(23529,23547) = 3¹ × 11¹ × 23¹ × 31¹ × 47¹ × 167¹
LCM(23529,23547) = 184679121