What is the Least Common Multiple of 6838 and 6852?

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 6838 and 6852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6838 and 6852, than apply into the LCM equation.

GCF(6838,6852) = 2
LCM(6838,6852) = ( 6838 × 6852) / 2
LCM(6838,6852) = 46853976 / 2
LCM(6838,6852) = 23426988

Least Common Multiple (LCM) of 6838 and 6852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6838 and 6852. First we will calculate the prime factors of 6838 and 6852.

Prime Factorization of 6838

Prime Factorization of 6852

Now multiplying the highest exponent prime factors to calculate the LCM of 6838 and 6852.

LCM(6838,6852) = 2² × 13¹ × 263¹ × 3¹ × 571¹
LCM(6838,6852) = 23426988