What is the Least Common Multiple of 6440 and 6445?

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 6445 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 6445, than apply into the LCM equation.

GCF(6440,6445) = 5
LCM(6440,6445) = ( 6440 × 6445) / 5
LCM(6440,6445) = 41505800 / 5
LCM(6440,6445) = 8301160

Least Common Multiple (LCM) of 6440 and 6445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6440 and 6445. First we will calculate the prime factors of 6440 and 6445.

Prime Factorization of 6440

Prime Factorization of 6445

Now multiplying the highest exponent prime factors to calculate the LCM of 6440 and 6445.

LCM(6440,6445) = 2³ × 5¹ × 7¹ × 23¹ × 1289¹
LCM(6440,6445) = 8301160