What is the Least Common Multiple of 65875 and 65880?

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 65875 and 65880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65875 and 65880, than apply into the LCM equation.

GCF(65875,65880) = 5
LCM(65875,65880) = ( 65875 × 65880) / 5
LCM(65875,65880) = 4339845000 / 5
LCM(65875,65880) = 867969000

Least Common Multiple (LCM) of 65875 and 65880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65875 and 65880. First we will calculate the prime factors of 65875 and 65880.

Prime Factorization of 65875

Prime Factorization of 65880

Now multiplying the highest exponent prime factors to calculate the LCM of 65875 and 65880.

LCM(65875,65880) = 5³ × 17¹ × 31¹ × 2³ × 3³ × 61¹
LCM(65875,65880) = 867969000