What is the Least Common Multiple of 8875 and 8880?

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 8875 and 8880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8875 and 8880, than apply into the LCM equation.

GCF(8875,8880) = 5
LCM(8875,8880) = ( 8875 × 8880) / 5
LCM(8875,8880) = 78810000 / 5
LCM(8875,8880) = 15762000

Least Common Multiple (LCM) of 8875 and 8880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8875 and 8880. First we will calculate the prime factors of 8875 and 8880.

Prime Factorization of 8875

Prime Factorization of 8880

Now multiplying the highest exponent prime factors to calculate the LCM of 8875 and 8880.

LCM(8875,8880) = 5³ × 71¹ × 2⁴ × 3¹ × 37¹
LCM(8875,8880) = 15762000