What is the Least Common Multiple of 96875 and 96880?

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 96875 and 96880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96875 and 96880, than apply into the LCM equation.

GCF(96875,96880) = 5
LCM(96875,96880) = ( 96875 × 96880) / 5
LCM(96875,96880) = 9385250000 / 5
LCM(96875,96880) = 1877050000

Least Common Multiple (LCM) of 96875 and 96880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96875 and 96880. First we will calculate the prime factors of 96875 and 96880.

Prime Factorization of 96875

Prime Factorization of 96880

Now multiplying the highest exponent prime factors to calculate the LCM of 96875 and 96880.

LCM(96875,96880) = 5⁵ × 31¹ × 2⁴ × 7¹ × 173¹
LCM(96875,96880) = 1877050000