What is the Least Common Multiple of 20965 and 20975?

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 20965 and 20975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20965 and 20975, than apply into the LCM equation.

GCF(20965,20975) = 5
LCM(20965,20975) = ( 20965 × 20975) / 5
LCM(20965,20975) = 439740875 / 5
LCM(20965,20975) = 87948175

Least Common Multiple (LCM) of 20965 and 20975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20965 and 20975. First we will calculate the prime factors of 20965 and 20975.

Prime Factorization of 20965

Prime Factorization of 20975

Now multiplying the highest exponent prime factors to calculate the LCM of 20965 and 20975.

LCM(20965,20975) = 5² × 7¹ × 599¹ × 839¹
LCM(20965,20975) = 87948175