What is the Least Common Multiple of 21689 and 21706?

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 21689 and 21706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21689 and 21706, than apply into the LCM equation.

GCF(21689,21706) = 1
LCM(21689,21706) = ( 21689 × 21706) / 1
LCM(21689,21706) = 470781434 / 1
LCM(21689,21706) = 470781434

Least Common Multiple (LCM) of 21689 and 21706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21689 and 21706. First we will calculate the prime factors of 21689 and 21706.

Prime Factorization of 21689

Prime Factorization of 21706

Now multiplying the highest exponent prime factors to calculate the LCM of 21689 and 21706.

LCM(21689,21706) = 23² × 41¹ × 2¹ × 10853¹
LCM(21689,21706) = 470781434