What is the Least Common Multiple of 15688 and 15698?

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 15688 and 15698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15688 and 15698, than apply into the LCM equation.

GCF(15688,15698) = 2
LCM(15688,15698) = ( 15688 × 15698) / 2
LCM(15688,15698) = 246270224 / 2
LCM(15688,15698) = 123135112

Least Common Multiple (LCM) of 15688 and 15698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15688 and 15698. First we will calculate the prime factors of 15688 and 15698.

Prime Factorization of 15688

Prime Factorization of 15698

Now multiplying the highest exponent prime factors to calculate the LCM of 15688 and 15698.

LCM(15688,15698) = 2³ × 37¹ × 53¹ × 47¹ × 167¹
LCM(15688,15698) = 123135112