What is the Least Common Multiple of 23578 and 23582?

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 23578 and 23582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23578 and 23582, than apply into the LCM equation.

GCF(23578,23582) = 2
LCM(23578,23582) = ( 23578 × 23582) / 2
LCM(23578,23582) = 556016396 / 2
LCM(23578,23582) = 278008198

Least Common Multiple (LCM) of 23578 and 23582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23578 and 23582. First we will calculate the prime factors of 23578 and 23582.

Prime Factorization of 23578

Prime Factorization of 23582

Now multiplying the highest exponent prime factors to calculate the LCM of 23578 and 23582.

LCM(23578,23582) = 2¹ × 11789¹ × 13¹ × 907¹
LCM(23578,23582) = 278008198