What is the Least Common Multiple of 6448 and 6457?

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 6457 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 6457, than apply into the LCM equation.

GCF(6448,6457) = 1
LCM(6448,6457) = ( 6448 × 6457) / 1
LCM(6448,6457) = 41634736 / 1
LCM(6448,6457) = 41634736

Least Common Multiple (LCM) of 6448 and 6457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6448 and 6457. First we will calculate the prime factors of 6448 and 6457.

Prime Factorization of 6448

Prime Factorization of 6457

Now multiplying the highest exponent prime factors to calculate the LCM of 6448 and 6457.

LCM(6448,6457) = 2⁴ × 13¹ × 31¹ × 11¹ × 587¹
LCM(6448,6457) = 41634736