What is the Least Common Multiple of 76385 and 76405?

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 76385 and 76405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76385 and 76405, than apply into the LCM equation.

GCF(76385,76405) = 5
LCM(76385,76405) = ( 76385 × 76405) / 5
LCM(76385,76405) = 5836195925 / 5
LCM(76385,76405) = 1167239185

Least Common Multiple (LCM) of 76385 and 76405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76385 and 76405. First we will calculate the prime factors of 76385 and 76405.

Prime Factorization of 76385

Prime Factorization of 76405

Now multiplying the highest exponent prime factors to calculate the LCM of 76385 and 76405.

LCM(76385,76405) = 5¹ × 15277¹ × 7¹ × 37¹ × 59¹
LCM(76385,76405) = 1167239185