What is the Least Common Multiple of 77078 and 77084?

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 77078 and 77084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77078 and 77084, than apply into the LCM equation.

GCF(77078,77084) = 2
LCM(77078,77084) = ( 77078 × 77084) / 2
LCM(77078,77084) = 5941480552 / 2
LCM(77078,77084) = 2970740276

Least Common Multiple (LCM) of 77078 and 77084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77078 and 77084. First we will calculate the prime factors of 77078 and 77084.

Prime Factorization of 77078

Prime Factorization of 77084

Now multiplying the highest exponent prime factors to calculate the LCM of 77078 and 77084.

LCM(77078,77084) = 2² × 17¹ × 2267¹ × 7¹ × 2753¹
LCM(77078,77084) = 2970740276