What is the Least Common Multiple of 20440 and 20450?

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 20440 and 20450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20440 and 20450, than apply into the LCM equation.

GCF(20440,20450) = 10
LCM(20440,20450) = ( 20440 × 20450) / 10
LCM(20440,20450) = 417998000 / 10
LCM(20440,20450) = 41799800

Least Common Multiple (LCM) of 20440 and 20450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20440 and 20450. First we will calculate the prime factors of 20440 and 20450.

Prime Factorization of 20440

Prime Factorization of 20450

Now multiplying the highest exponent prime factors to calculate the LCM of 20440 and 20450.

LCM(20440,20450) = 2³ × 5² × 7¹ × 73¹ × 409¹
LCM(20440,20450) = 41799800