What is the Least Common Multiple of 6438 and 6448?

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 6438 and 6448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6438 and 6448, than apply into the LCM equation.

GCF(6438,6448) = 2
LCM(6438,6448) = ( 6438 × 6448) / 2
LCM(6438,6448) = 41512224 / 2
LCM(6438,6448) = 20756112

Least Common Multiple (LCM) of 6438 and 6448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6448. First we will calculate the prime factors of 6438 and 6448.

Prime Factorization of 6438

Prime Factorization of 6448

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6448.

LCM(6438,6448) = 2⁴ × 3¹ × 29¹ × 37¹ × 13¹ × 31¹
LCM(6438,6448) = 20756112