What is the Least Common Multiple of 78869 and 78876?

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 78869 and 78876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78869 and 78876, than apply into the LCM equation.

GCF(78869,78876) = 7
LCM(78869,78876) = ( 78869 × 78876) / 7
LCM(78869,78876) = 6220871244 / 7
LCM(78869,78876) = 888695892

Least Common Multiple (LCM) of 78869 and 78876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78869 and 78876. First we will calculate the prime factors of 78869 and 78876.

Prime Factorization of 78869

Prime Factorization of 78876

Now multiplying the highest exponent prime factors to calculate the LCM of 78869 and 78876.

LCM(78869,78876) = 7¹ × 19¹ × 593¹ × 2² × 3² × 313¹
LCM(78869,78876) = 888695892