What is the Least Common Multiple of 20709 and 20729?

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 20709 and 20729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20709 and 20729, than apply into the LCM equation.

GCF(20709,20729) = 1
LCM(20709,20729) = ( 20709 × 20729) / 1
LCM(20709,20729) = 429276861 / 1
LCM(20709,20729) = 429276861

Least Common Multiple (LCM) of 20709 and 20729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20709 and 20729. First we will calculate the prime factors of 20709 and 20729.

Prime Factorization of 20709

Prime Factorization of 20729

Now multiplying the highest exponent prime factors to calculate the LCM of 20709 and 20729.

LCM(20709,20729) = 3³ × 13¹ × 59¹ × 19¹ × 1091¹
LCM(20709,20729) = 429276861