What is the Least Common Multiple of 20975 and 20980?

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 20980 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 20980, than apply into the LCM equation.

GCF(20975,20980) = 5
LCM(20975,20980) = ( 20975 × 20980) / 5
LCM(20975,20980) = 440055500 / 5
LCM(20975,20980) = 88011100

Least Common Multiple (LCM) of 20975 and 20980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20975 and 20980. First we will calculate the prime factors of 20975 and 20980.

Prime Factorization of 20975

Prime Factorization of 20980

Now multiplying the highest exponent prime factors to calculate the LCM of 20975 and 20980.

LCM(20975,20980) = 5² × 839¹ × 2² × 1049¹
LCM(20975,20980) = 88011100