What is the Least Common Multiple of 15768 and 15786?

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 15768 and 15786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15768 and 15786, than apply into the LCM equation.

GCF(15768,15786) = 18
LCM(15768,15786) = ( 15768 × 15786) / 18
LCM(15768,15786) = 248913648 / 18
LCM(15768,15786) = 13828536

Least Common Multiple (LCM) of 15768 and 15786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15768 and 15786. First we will calculate the prime factors of 15768 and 15786.

Prime Factorization of 15768

Prime Factorization of 15786

Now multiplying the highest exponent prime factors to calculate the LCM of 15768 and 15786.

LCM(15768,15786) = 2³ × 3³ × 73¹ × 877¹
LCM(15768,15786) = 13828536