What is the Least Common Multiple of 23785 and 23799?

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 23785 and 23799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23785 and 23799, than apply into the LCM equation.

GCF(23785,23799) = 1
LCM(23785,23799) = ( 23785 × 23799) / 1
LCM(23785,23799) = 566059215 / 1
LCM(23785,23799) = 566059215

Least Common Multiple (LCM) of 23785 and 23799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23785 and 23799. First we will calculate the prime factors of 23785 and 23799.

Prime Factorization of 23785

Prime Factorization of 23799

Now multiplying the highest exponent prime factors to calculate the LCM of 23785 and 23799.

LCM(23785,23799) = 5¹ × 67¹ × 71¹ × 3¹ × 7933¹
LCM(23785,23799) = 566059215