What is the Least Common Multiple of 23842 and 23855?

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 23855 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 23855, than apply into the LCM equation.

GCF(23842,23855) = 13
LCM(23842,23855) = ( 23842 × 23855) / 13
LCM(23842,23855) = 568750910 / 13
LCM(23842,23855) = 43750070

Least Common Multiple (LCM) of 23842 and 23855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23842 and 23855. First we will calculate the prime factors of 23842 and 23855.

Prime Factorization of 23842

Prime Factorization of 23855

Now multiplying the highest exponent prime factors to calculate the LCM of 23842 and 23855.

LCM(23842,23855) = 2¹ × 7¹ × 13¹ × 131¹ × 5¹ × 367¹
LCM(23842,23855) = 43750070