What is the Least Common Multiple of 15786 and 15796?

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 15786 and 15796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15786 and 15796, than apply into the LCM equation.

GCF(15786,15796) = 2
LCM(15786,15796) = ( 15786 × 15796) / 2
LCM(15786,15796) = 249355656 / 2
LCM(15786,15796) = 124677828

Least Common Multiple (LCM) of 15786 and 15796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15786 and 15796. First we will calculate the prime factors of 15786 and 15796.

Prime Factorization of 15786

Prime Factorization of 15796

Now multiplying the highest exponent prime factors to calculate the LCM of 15786 and 15796.

LCM(15786,15796) = 2² × 3² × 877¹ × 11¹ × 359¹
LCM(15786,15796) = 124677828