What is the Least Common Multiple of 14058 and 14069?

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 14058 and 14069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14058 and 14069, than apply into the LCM equation.

GCF(14058,14069) = 11
LCM(14058,14069) = ( 14058 × 14069) / 11
LCM(14058,14069) = 197782002 / 11
LCM(14058,14069) = 17980182

Least Common Multiple (LCM) of 14058 and 14069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14058 and 14069. First we will calculate the prime factors of 14058 and 14069.

Prime Factorization of 14058

Prime Factorization of 14069

Now multiplying the highest exponent prime factors to calculate the LCM of 14058 and 14069.

LCM(14058,14069) = 2¹ × 3² × 11¹ × 71¹ × 1279¹
LCM(14058,14069) = 17980182