What is the Least Common Multiple of 23579 and 23590?

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 23579 and 23590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23579 and 23590, than apply into the LCM equation.

GCF(23579,23590) = 1
LCM(23579,23590) = ( 23579 × 23590) / 1
LCM(23579,23590) = 556228610 / 1
LCM(23579,23590) = 556228610

Least Common Multiple (LCM) of 23579 and 23590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23579 and 23590. First we will calculate the prime factors of 23579 and 23590.

Prime Factorization of 23579

Prime Factorization of 23590

Now multiplying the highest exponent prime factors to calculate the LCM of 23579 and 23590.

LCM(23579,23590) = 17¹ × 19¹ × 73¹ × 2¹ × 5¹ × 7¹ × 337¹
LCM(23579,23590) = 556228610