What is the Least Common Multiple of 15678 and 15697?

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 15697 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 15697, than apply into the LCM equation.

GCF(15678,15697) = 1
LCM(15678,15697) = ( 15678 × 15697) / 1
LCM(15678,15697) = 246097566 / 1
LCM(15678,15697) = 246097566

Least Common Multiple (LCM) of 15678 and 15697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15678 and 15697. First we will calculate the prime factors of 15678 and 15697.

Prime Factorization of 15678

Prime Factorization of 15697

Now multiplying the highest exponent prime factors to calculate the LCM of 15678 and 15697.

LCM(15678,15697) = 2¹ × 3² × 13¹ × 67¹ × 11¹ × 1427¹
LCM(15678,15697) = 246097566