What is the Least Common Multiple of 20440 and 20454?

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 20454 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 20454, than apply into the LCM equation.

GCF(20440,20454) = 14
LCM(20440,20454) = ( 20440 × 20454) / 14
LCM(20440,20454) = 418079760 / 14
LCM(20440,20454) = 29862840

Least Common Multiple (LCM) of 20440 and 20454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20440 and 20454. First we will calculate the prime factors of 20440 and 20454.

Prime Factorization of 20440

Prime Factorization of 20454

Now multiplying the highest exponent prime factors to calculate the LCM of 20440 and 20454.

LCM(20440,20454) = 2³ × 5¹ × 7¹ × 73¹ × 3¹ × 487¹
LCM(20440,20454) = 29862840