What is the Least Common Multiple of 16058 and 16069?

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 16058 and 16069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16058 and 16069, than apply into the LCM equation.

GCF(16058,16069) = 1
LCM(16058,16069) = ( 16058 × 16069) / 1
LCM(16058,16069) = 258036002 / 1
LCM(16058,16069) = 258036002

Least Common Multiple (LCM) of 16058 and 16069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16058 and 16069. First we will calculate the prime factors of 16058 and 16069.

Prime Factorization of 16058

Prime Factorization of 16069

Now multiplying the highest exponent prime factors to calculate the LCM of 16058 and 16069.

LCM(16058,16069) = 2¹ × 7¹ × 31¹ × 37¹ × 16069¹
LCM(16058,16069) = 258036002