What is the Least Common Multiple of 6440 and 6449?

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 6440 and 6449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6440 and 6449, than apply into the LCM equation.

GCF(6440,6449) = 1
LCM(6440,6449) = ( 6440 × 6449) / 1
LCM(6440,6449) = 41531560 / 1
LCM(6440,6449) = 41531560

Least Common Multiple (LCM) of 6440 and 6449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6440 and 6449. First we will calculate the prime factors of 6440 and 6449.

Prime Factorization of 6440

Prime Factorization of 6449

Now multiplying the highest exponent prime factors to calculate the LCM of 6440 and 6449.

LCM(6440,6449) = 2³ × 5¹ × 7¹ × 23¹ × 6449¹
LCM(6440,6449) = 41531560