What is the Least Common Multiple of 78966 and 78976?

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 78966 and 78976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78966 and 78976, than apply into the LCM equation.

GCF(78966,78976) = 2
LCM(78966,78976) = ( 78966 × 78976) / 2
LCM(78966,78976) = 6236418816 / 2
LCM(78966,78976) = 3118209408

Least Common Multiple (LCM) of 78966 and 78976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78966 and 78976. First we will calculate the prime factors of 78966 and 78976.

Prime Factorization of 78966

Prime Factorization of 78976

Now multiplying the highest exponent prime factors to calculate the LCM of 78966 and 78976.

LCM(78966,78976) = 2⁷ × 3² × 41¹ × 107¹ × 617¹
LCM(78966,78976) = 3118209408