What is the Least Common Multiple of 20975 and 20982?

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 20975 and 20982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20975 and 20982, than apply into the LCM equation.

GCF(20975,20982) = 1
LCM(20975,20982) = ( 20975 × 20982) / 1
LCM(20975,20982) = 440097450 / 1
LCM(20975,20982) = 440097450

Least Common Multiple (LCM) of 20975 and 20982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20975 and 20982. First we will calculate the prime factors of 20975 and 20982.

Prime Factorization of 20975

Prime Factorization of 20982

Now multiplying the highest exponent prime factors to calculate the LCM of 20975 and 20982.

LCM(20975,20982) = 5² × 839¹ × 2¹ × 3¹ × 13¹ × 269¹
LCM(20975,20982) = 440097450