What is the Least Common Multiple of 16075 and 16092?

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 16075 and 16092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16075 and 16092, than apply into the LCM equation.

GCF(16075,16092) = 1
LCM(16075,16092) = ( 16075 × 16092) / 1
LCM(16075,16092) = 258678900 / 1
LCM(16075,16092) = 258678900

Least Common Multiple (LCM) of 16075 and 16092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16075 and 16092. First we will calculate the prime factors of 16075 and 16092.

Prime Factorization of 16075

Prime Factorization of 16092

Now multiplying the highest exponent prime factors to calculate the LCM of 16075 and 16092.

LCM(16075,16092) = 5² × 643¹ × 2² × 3³ × 149¹
LCM(16075,16092) = 258678900