What is the Least Common Multiple of 76405 and 76409?

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 76405 and 76409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76405 and 76409, than apply into the LCM equation.

GCF(76405,76409) = 1
LCM(76405,76409) = ( 76405 × 76409) / 1
LCM(76405,76409) = 5838029645 / 1
LCM(76405,76409) = 5838029645

Least Common Multiple (LCM) of 76405 and 76409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76405 and 76409. First we will calculate the prime factors of 76405 and 76409.

Prime Factorization of 76405

Prime Factorization of 76409

Now multiplying the highest exponent prime factors to calculate the LCM of 76405 and 76409.

LCM(76405,76409) = 5¹ × 7¹ × 37¹ × 59¹ × 109¹ × 701¹
LCM(76405,76409) = 5838029645