What is the Least Common Multiple of 20838 and 20852?

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 20838 and 20852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20838 and 20852, than apply into the LCM equation.

GCF(20838,20852) = 2
LCM(20838,20852) = ( 20838 × 20852) / 2
LCM(20838,20852) = 434513976 / 2
LCM(20838,20852) = 217256988

Least Common Multiple (LCM) of 20838 and 20852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20838 and 20852. First we will calculate the prime factors of 20838 and 20852.

Prime Factorization of 20838

Prime Factorization of 20852

Now multiplying the highest exponent prime factors to calculate the LCM of 20838 and 20852.

LCM(20838,20852) = 2² × 3¹ × 23¹ × 151¹ × 13¹ × 401¹
LCM(20838,20852) = 217256988