What is the Least Common Multiple of 78876 and 78894?

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 78876 and 78894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78876 and 78894, than apply into the LCM equation.

GCF(78876,78894) = 18
LCM(78876,78894) = ( 78876 × 78894) / 18
LCM(78876,78894) = 6222843144 / 18
LCM(78876,78894) = 345713508

Least Common Multiple (LCM) of 78876 and 78894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78876 and 78894. First we will calculate the prime factors of 78876 and 78894.

Prime Factorization of 78876

Prime Factorization of 78894

Now multiplying the highest exponent prime factors to calculate the LCM of 78876 and 78894.

LCM(78876,78894) = 2² × 3⁴ × 7¹ × 313¹ × 487¹
LCM(78876,78894) = 345713508