What is the Least Common Multiple of 78574 and 78592?

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 78574 and 78592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78574 and 78592, than apply into the LCM equation.

GCF(78574,78592) = 2
LCM(78574,78592) = ( 78574 × 78592) / 2
LCM(78574,78592) = 6175287808 / 2
LCM(78574,78592) = 3087643904

Least Common Multiple (LCM) of 78574 and 78592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78574 and 78592. First we will calculate the prime factors of 78574 and 78592.

Prime Factorization of 78574

Prime Factorization of 78592

Now multiplying the highest exponent prime factors to calculate the LCM of 78574 and 78592.

LCM(78574,78592) = 2⁸ × 17¹ × 2311¹ × 307¹
LCM(78574,78592) = 3087643904