What is the Least Common Multiple of 78948 and 78966?

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 78948 and 78966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78948 and 78966, than apply into the LCM equation.

GCF(78948,78966) = 18
LCM(78948,78966) = ( 78948 × 78966) / 18
LCM(78948,78966) = 6234207768 / 18
LCM(78948,78966) = 346344876

Least Common Multiple (LCM) of 78948 and 78966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78948 and 78966. First we will calculate the prime factors of 78948 and 78966.

Prime Factorization of 78948

Prime Factorization of 78966

Now multiplying the highest exponent prime factors to calculate the LCM of 78948 and 78966.

LCM(78948,78966) = 2² × 3³ × 17¹ × 43¹ × 41¹ × 107¹
LCM(78948,78966) = 346344876