What is the Least Common Multiple of 77084 and 77089?

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 77084 and 77089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77084 and 77089, than apply into the LCM equation.

GCF(77084,77089) = 1
LCM(77084,77089) = ( 77084 × 77089) / 1
LCM(77084,77089) = 5942328476 / 1
LCM(77084,77089) = 5942328476

Least Common Multiple (LCM) of 77084 and 77089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77084 and 77089. First we will calculate the prime factors of 77084 and 77089.

Prime Factorization of 77084

Prime Factorization of 77089

Now multiplying the highest exponent prime factors to calculate the LCM of 77084 and 77089.

LCM(77084,77089) = 2² × 7¹ × 2753¹ × 127¹ × 607¹
LCM(77084,77089) = 5942328476