What is the Least Common Multiple of 14058 and 14067?

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 14067 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 14067, than apply into the LCM equation.

GCF(14058,14067) = 9
LCM(14058,14067) = ( 14058 × 14067) / 9
LCM(14058,14067) = 197753886 / 9
LCM(14058,14067) = 21972654

Least Common Multiple (LCM) of 14058 and 14067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14058 and 14067. First we will calculate the prime factors of 14058 and 14067.

Prime Factorization of 14058

Prime Factorization of 14067

Now multiplying the highest exponent prime factors to calculate the LCM of 14058 and 14067.

LCM(14058,14067) = 2¹ × 3³ × 11¹ × 71¹ × 521¹
LCM(14058,14067) = 21972654