What is the Least Common Multiple of 78805 and 78809?

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 78805 and 78809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78805 and 78809, than apply into the LCM equation.

GCF(78805,78809) = 1
LCM(78805,78809) = ( 78805 × 78809) / 1
LCM(78805,78809) = 6210543245 / 1
LCM(78805,78809) = 6210543245

Least Common Multiple (LCM) of 78805 and 78809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78805 and 78809. First we will calculate the prime factors of 78805 and 78809.

Prime Factorization of 78805

Prime Factorization of 78809

Now multiplying the highest exponent prime factors to calculate the LCM of 78805 and 78809.

LCM(78805,78809) = 5¹ × 15761¹ × 78809¹
LCM(78805,78809) = 6210543245