What is the Least Common Multiple of 20629 and 20641?

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 20629 and 20641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20629 and 20641, than apply into the LCM equation.

GCF(20629,20641) = 1
LCM(20629,20641) = ( 20629 × 20641) / 1
LCM(20629,20641) = 425803189 / 1
LCM(20629,20641) = 425803189

Least Common Multiple (LCM) of 20629 and 20641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20629 and 20641. First we will calculate the prime factors of 20629 and 20641.

Prime Factorization of 20629

Prime Factorization of 20641

Now multiplying the highest exponent prime factors to calculate the LCM of 20629 and 20641.

LCM(20629,20641) = 7² × 421¹ × 20641¹
LCM(20629,20641) = 425803189