What is the Least Common Multiple of 23582 and 23596?

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 23582 and 23596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23582 and 23596, than apply into the LCM equation.

GCF(23582,23596) = 2
LCM(23582,23596) = ( 23582 × 23596) / 2
LCM(23582,23596) = 556440872 / 2
LCM(23582,23596) = 278220436

Least Common Multiple (LCM) of 23582 and 23596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23582 and 23596. First we will calculate the prime factors of 23582 and 23596.

Prime Factorization of 23582

Prime Factorization of 23596

Now multiplying the highest exponent prime factors to calculate the LCM of 23582 and 23596.

LCM(23582,23596) = 2² × 13¹ × 907¹ × 17¹ × 347¹
LCM(23582,23596) = 278220436