What is the Least Common Multiple of 20689 and 20708?

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 20689 and 20708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20689 and 20708, than apply into the LCM equation.

GCF(20689,20708) = 1
LCM(20689,20708) = ( 20689 × 20708) / 1
LCM(20689,20708) = 428427812 / 1
LCM(20689,20708) = 428427812

Least Common Multiple (LCM) of 20689 and 20708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20689 and 20708. First we will calculate the prime factors of 20689 and 20708.

Prime Factorization of 20689

Prime Factorization of 20708

Now multiplying the highest exponent prime factors to calculate the LCM of 20689 and 20708.

LCM(20689,20708) = 17¹ × 1217¹ × 2² × 31¹ × 167¹
LCM(20689,20708) = 428427812