What is the Least Common Multiple of 23842 and 23859?

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 23842 and 23859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23842 and 23859, than apply into the LCM equation.

GCF(23842,23859) = 1
LCM(23842,23859) = ( 23842 × 23859) / 1
LCM(23842,23859) = 568846278 / 1
LCM(23842,23859) = 568846278

Least Common Multiple (LCM) of 23842 and 23859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23842 and 23859. First we will calculate the prime factors of 23842 and 23859.

Prime Factorization of 23842

Prime Factorization of 23859

Now multiplying the highest exponent prime factors to calculate the LCM of 23842 and 23859.

LCM(23842,23859) = 2¹ × 7¹ × 13¹ × 131¹ × 3² × 11¹ × 241¹
LCM(23842,23859) = 568846278