What is the Least Common Multiple of 15678 and 15688?

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 15678 and 15688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15678 and 15688, than apply into the LCM equation.

GCF(15678,15688) = 2
LCM(15678,15688) = ( 15678 × 15688) / 2
LCM(15678,15688) = 245956464 / 2
LCM(15678,15688) = 122978232

Least Common Multiple (LCM) of 15678 and 15688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15678 and 15688. First we will calculate the prime factors of 15678 and 15688.

Prime Factorization of 15678

Prime Factorization of 15688

Now multiplying the highest exponent prime factors to calculate the LCM of 15678 and 15688.

LCM(15678,15688) = 2³ × 3² × 13¹ × 67¹ × 37¹ × 53¹
LCM(15678,15688) = 122978232