What is the Least Common Multiple of 6409 and 6424?

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 6409 and 6424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6409 and 6424, than apply into the LCM equation.

GCF(6409,6424) = 1
LCM(6409,6424) = ( 6409 × 6424) / 1
LCM(6409,6424) = 41171416 / 1
LCM(6409,6424) = 41171416

Least Common Multiple (LCM) of 6409 and 6424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6409 and 6424. First we will calculate the prime factors of 6409 and 6424.

Prime Factorization of 6409

Prime Factorization of 6424

Now multiplying the highest exponent prime factors to calculate the LCM of 6409 and 6424.

LCM(6409,6424) = 13¹ × 17¹ × 29¹ × 2³ × 11¹ × 73¹
LCM(6409,6424) = 41171416