What is the Least Common Multiple of 73875 and 73880?

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 73875 and 73880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73875 and 73880, than apply into the LCM equation.

GCF(73875,73880) = 5
LCM(73875,73880) = ( 73875 × 73880) / 5
LCM(73875,73880) = 5457885000 / 5
LCM(73875,73880) = 1091577000

Least Common Multiple (LCM) of 73875 and 73880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73875 and 73880. First we will calculate the prime factors of 73875 and 73880.

Prime Factorization of 73875

Prime Factorization of 73880

Now multiplying the highest exponent prime factors to calculate the LCM of 73875 and 73880.

LCM(73875,73880) = 3¹ × 5³ × 197¹ × 2³ × 1847¹
LCM(73875,73880) = 1091577000