What is the Least Common Multiple of 10280 and 10287?

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 10287 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 10287, than apply into the LCM equation.

GCF(10280,10287) = 1
LCM(10280,10287) = ( 10280 × 10287) / 1
LCM(10280,10287) = 105750360 / 1
LCM(10280,10287) = 105750360

Least Common Multiple (LCM) of 10280 and 10287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10280 and 10287. First we will calculate the prime factors of 10280 and 10287.

Prime Factorization of 10280

Prime Factorization of 10287

Now multiplying the highest exponent prime factors to calculate the LCM of 10280 and 10287.

LCM(10280,10287) = 2³ × 5¹ × 257¹ × 3⁴ × 127¹
LCM(10280,10287) = 105750360