What is the Least Common Multiple of 15782 and 15800?

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 15782 and 15800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15782 and 15800, than apply into the LCM equation.

GCF(15782,15800) = 2
LCM(15782,15800) = ( 15782 × 15800) / 2
LCM(15782,15800) = 249355600 / 2
LCM(15782,15800) = 124677800

Least Common Multiple (LCM) of 15782 and 15800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15782 and 15800. First we will calculate the prime factors of 15782 and 15800.

Prime Factorization of 15782

Prime Factorization of 15800

Now multiplying the highest exponent prime factors to calculate the LCM of 15782 and 15800.

LCM(15782,15800) = 2³ × 13¹ × 607¹ × 5² × 79¹
LCM(15782,15800) = 124677800