What is the Least Common Multiple of 78912 and 78931?

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 78912 and 78931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78912 and 78931, than apply into the LCM equation.

GCF(78912,78931) = 1
LCM(78912,78931) = ( 78912 × 78931) / 1
LCM(78912,78931) = 6228603072 / 1
LCM(78912,78931) = 6228603072

Least Common Multiple (LCM) of 78912 and 78931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78912 and 78931. First we will calculate the prime factors of 78912 and 78931.

Prime Factorization of 78912

Prime Factorization of 78931

Now multiplying the highest exponent prime factors to calculate the LCM of 78912 and 78931.

LCM(78912,78931) = 2⁶ × 3² × 137¹ × 17¹ × 4643¹
LCM(78912,78931) = 6228603072