What is the Least Common Multiple of 77809 and 77823?

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 77809 and 77823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77809 and 77823, than apply into the LCM equation.

GCF(77809,77823) = 1
LCM(77809,77823) = ( 77809 × 77823) / 1
LCM(77809,77823) = 6055329807 / 1
LCM(77809,77823) = 6055329807

Least Common Multiple (LCM) of 77809 and 77823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77809 and 77823. First we will calculate the prime factors of 77809 and 77823.

Prime Factorization of 77809

Prime Factorization of 77823

Now multiplying the highest exponent prime factors to calculate the LCM of 77809 and 77823.

LCM(77809,77823) = 17¹ × 23¹ × 199¹ × 3² × 8647¹
LCM(77809,77823) = 6055329807