What is the Least Common Multiple of 20832 and 20842?

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 20832 and 20842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20832 and 20842, than apply into the LCM equation.

GCF(20832,20842) = 2
LCM(20832,20842) = ( 20832 × 20842) / 2
LCM(20832,20842) = 434180544 / 2
LCM(20832,20842) = 217090272

Least Common Multiple (LCM) of 20832 and 20842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20832 and 20842. First we will calculate the prime factors of 20832 and 20842.

Prime Factorization of 20832

Prime Factorization of 20842

Now multiplying the highest exponent prime factors to calculate the LCM of 20832 and 20842.

LCM(20832,20842) = 2⁵ × 3¹ × 7¹ × 31¹ × 17¹ × 613¹
LCM(20832,20842) = 217090272