What is the Least Common Multiple of 16280 and 16285?

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 16280 and 16285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16280 and 16285, than apply into the LCM equation.

GCF(16280,16285) = 5
LCM(16280,16285) = ( 16280 × 16285) / 5
LCM(16280,16285) = 265119800 / 5
LCM(16280,16285) = 53023960

Least Common Multiple (LCM) of 16280 and 16285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16280 and 16285. First we will calculate the prime factors of 16280 and 16285.

Prime Factorization of 16280

Prime Factorization of 16285

Now multiplying the highest exponent prime factors to calculate the LCM of 16280 and 16285.

LCM(16280,16285) = 2³ × 5¹ × 11¹ × 37¹ × 3257¹
LCM(16280,16285) = 53023960