What is the Least Common Multiple of 20864 and 20869?

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 20864 and 20869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20864 and 20869, than apply into the LCM equation.

GCF(20864,20869) = 1
LCM(20864,20869) = ( 20864 × 20869) / 1
LCM(20864,20869) = 435410816 / 1
LCM(20864,20869) = 435410816

Least Common Multiple (LCM) of 20864 and 20869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20864 and 20869. First we will calculate the prime factors of 20864 and 20869.

Prime Factorization of 20864

Prime Factorization of 20869

Now multiplying the highest exponent prime factors to calculate the LCM of 20864 and 20869.

LCM(20864,20869) = 2⁷ × 163¹ × 41¹ × 509¹
LCM(20864,20869) = 435410816