What is the Least Common Multiple of 20454 and 20472?

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 20454 and 20472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20454 and 20472, than apply into the LCM equation.

GCF(20454,20472) = 6
LCM(20454,20472) = ( 20454 × 20472) / 6
LCM(20454,20472) = 418734288 / 6
LCM(20454,20472) = 69789048

Least Common Multiple (LCM) of 20454 and 20472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20454 and 20472. First we will calculate the prime factors of 20454 and 20472.

Prime Factorization of 20454

Prime Factorization of 20472

Now multiplying the highest exponent prime factors to calculate the LCM of 20454 and 20472.

LCM(20454,20472) = 2³ × 3¹ × 7¹ × 487¹ × 853¹
LCM(20454,20472) = 69789048