What is the Least Common Multiple of 13828 and 13842?

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 13828 and 13842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13828 and 13842, than apply into the LCM equation.

GCF(13828,13842) = 2
LCM(13828,13842) = ( 13828 × 13842) / 2
LCM(13828,13842) = 191407176 / 2
LCM(13828,13842) = 95703588

Least Common Multiple (LCM) of 13828 and 13842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13828 and 13842. First we will calculate the prime factors of 13828 and 13842.

Prime Factorization of 13828

Prime Factorization of 13842

Now multiplying the highest exponent prime factors to calculate the LCM of 13828 and 13842.

LCM(13828,13842) = 2² × 3457¹ × 3² × 769¹
LCM(13828,13842) = 95703588