What is the Least Common Multiple of 6448 and 6454?

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 6448 and 6454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6448 and 6454, than apply into the LCM equation.

GCF(6448,6454) = 2
LCM(6448,6454) = ( 6448 × 6454) / 2
LCM(6448,6454) = 41615392 / 2
LCM(6448,6454) = 20807696

Least Common Multiple (LCM) of 6448 and 6454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6454. First we will calculate the prime factors of 6448 and 6454.

Prime Factorization of 6448

Prime Factorization of 6454

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6454.

LCM(6448,6454) = 2⁴ × 13¹ × 31¹ × 7¹ × 461¹
LCM(6448,6454) = 20807696