What is the Least Common Multiple of 20824 and 20832?

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 20824 and 20832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20824 and 20832, than apply into the LCM equation.

GCF(20824,20832) = 8
LCM(20824,20832) = ( 20824 × 20832) / 8
LCM(20824,20832) = 433805568 / 8
LCM(20824,20832) = 54225696

Least Common Multiple (LCM) of 20824 and 20832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20824 and 20832. First we will calculate the prime factors of 20824 and 20832.

Prime Factorization of 20824

Prime Factorization of 20832

Now multiplying the highest exponent prime factors to calculate the LCM of 20824 and 20832.

LCM(20824,20832) = 2⁵ × 19¹ × 137¹ × 3¹ × 7¹ × 31¹
LCM(20824,20832) = 54225696