What is the Least Common Multiple of 16085 and 16100?

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 16085 and 16100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16085 and 16100, than apply into the LCM equation.

GCF(16085,16100) = 5
LCM(16085,16100) = ( 16085 × 16100) / 5
LCM(16085,16100) = 258968500 / 5
LCM(16085,16100) = 51793700

Least Common Multiple (LCM) of 16085 and 16100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16085 and 16100. First we will calculate the prime factors of 16085 and 16100.

Prime Factorization of 16085

Prime Factorization of 16100

Now multiplying the highest exponent prime factors to calculate the LCM of 16085 and 16100.

LCM(16085,16100) = 5² × 3217¹ × 2² × 7¹ × 23¹
LCM(16085,16100) = 51793700