What is the Least Common Multiple of 20875 and 20885?

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 20875 and 20885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20875 and 20885, than apply into the LCM equation.

GCF(20875,20885) = 5
LCM(20875,20885) = ( 20875 × 20885) / 5
LCM(20875,20885) = 435974375 / 5
LCM(20875,20885) = 87194875

Least Common Multiple (LCM) of 20875 and 20885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20875 and 20885. First we will calculate the prime factors of 20875 and 20885.

Prime Factorization of 20875

Prime Factorization of 20885

Now multiplying the highest exponent prime factors to calculate the LCM of 20875 and 20885.

LCM(20875,20885) = 5³ × 167¹ × 4177¹
LCM(20875,20885) = 87194875