What is the Least Common Multiple of 23521 and 23539?

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 23521 and 23539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23521 and 23539, than apply into the LCM equation.

GCF(23521,23539) = 1
LCM(23521,23539) = ( 23521 × 23539) / 1
LCM(23521,23539) = 553660819 / 1
LCM(23521,23539) = 553660819

Least Common Multiple (LCM) of 23521 and 23539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23521 and 23539. First we will calculate the prime factors of 23521 and 23539.

Prime Factorization of 23521

Prime Factorization of 23539

Now multiplying the highest exponent prime factors to calculate the LCM of 23521 and 23539.

LCM(23521,23539) = 43¹ × 547¹ × 23539¹
LCM(23521,23539) = 553660819