What is the Least Common Multiple of 78876 and 78880?

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 78880 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 78880, than apply into the LCM equation.

GCF(78876,78880) = 4
LCM(78876,78880) = ( 78876 × 78880) / 4
LCM(78876,78880) = 6221738880 / 4
LCM(78876,78880) = 1555434720

Least Common Multiple (LCM) of 78876 and 78880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78876 and 78880. First we will calculate the prime factors of 78876 and 78880.

Prime Factorization of 78876

Prime Factorization of 78880

Now multiplying the highest exponent prime factors to calculate the LCM of 78876 and 78880.

LCM(78876,78880) = 2⁵ × 3² × 7¹ × 313¹ × 5¹ × 17¹ × 29¹
LCM(78876,78880) = 1555434720