What is the Least Common Multiple of 6365 and 6385?

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 6365 and 6385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6365 and 6385, than apply into the LCM equation.

GCF(6365,6385) = 5
LCM(6365,6385) = ( 6365 × 6385) / 5
LCM(6365,6385) = 40640525 / 5
LCM(6365,6385) = 8128105

Least Common Multiple (LCM) of 6365 and 6385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6365 and 6385. First we will calculate the prime factors of 6365 and 6385.

Prime Factorization of 6365

Prime Factorization of 6385

Now multiplying the highest exponent prime factors to calculate the LCM of 6365 and 6385.

LCM(6365,6385) = 5¹ × 19¹ × 67¹ × 1277¹
LCM(6365,6385) = 8128105