What is the Least Common Multiple of 10280 and 10285?

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 10280 and 10285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10280 and 10285, than apply into the LCM equation.

GCF(10280,10285) = 5
LCM(10280,10285) = ( 10280 × 10285) / 5
LCM(10280,10285) = 105729800 / 5
LCM(10280,10285) = 21145960

Least Common Multiple (LCM) of 10280 and 10285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10280 and 10285. First we will calculate the prime factors of 10280 and 10285.

Prime Factorization of 10280

Prime Factorization of 10285

Now multiplying the highest exponent prime factors to calculate the LCM of 10280 and 10285.

LCM(10280,10285) = 2³ × 5¹ × 257¹ × 11² × 17¹
LCM(10280,10285) = 21145960