What is the Least Common Multiple of 8810 and 8815?

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 8810 and 8815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8810 and 8815, than apply into the LCM equation.

GCF(8810,8815) = 5
LCM(8810,8815) = ( 8810 × 8815) / 5
LCM(8810,8815) = 77660150 / 5
LCM(8810,8815) = 15532030

Least Common Multiple (LCM) of 8810 and 8815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8810 and 8815. First we will calculate the prime factors of 8810 and 8815.

Prime Factorization of 8810

Prime Factorization of 8815

Now multiplying the highest exponent prime factors to calculate the LCM of 8810 and 8815.

LCM(8810,8815) = 2¹ × 5¹ × 881¹ × 41¹ × 43¹
LCM(8810,8815) = 15532030