What is the Least Common Multiple of 96875 and 96890?

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 96890 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 96890, than apply into the LCM equation.

GCF(96875,96890) = 5
LCM(96875,96890) = ( 96875 × 96890) / 5
LCM(96875,96890) = 9386218750 / 5
LCM(96875,96890) = 1877243750

Least Common Multiple (LCM) of 96875 and 96890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96875 and 96890. First we will calculate the prime factors of 96875 and 96890.

Prime Factorization of 96875

Prime Factorization of 96890

Now multiplying the highest exponent prime factors to calculate the LCM of 96875 and 96890.

LCM(96875,96890) = 5⁵ × 31¹ × 2¹ × 9689¹
LCM(96875,96890) = 1877243750