What is the Least Common Multiple of 23782 and 23800?

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 23782 and 23800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23782 and 23800, than apply into the LCM equation.

GCF(23782,23800) = 2
LCM(23782,23800) = ( 23782 × 23800) / 2
LCM(23782,23800) = 566011600 / 2
LCM(23782,23800) = 283005800

Least Common Multiple (LCM) of 23782 and 23800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23782 and 23800. First we will calculate the prime factors of 23782 and 23800.

Prime Factorization of 23782

Prime Factorization of 23800

Now multiplying the highest exponent prime factors to calculate the LCM of 23782 and 23800.

LCM(23782,23800) = 2³ × 11¹ × 23¹ × 47¹ × 5² × 7¹ × 17¹
LCM(23782,23800) = 283005800