What is the Least Common Multiple of 78590 and 78608?

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 78590 and 78608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78590 and 78608, than apply into the LCM equation.

GCF(78590,78608) = 2
LCM(78590,78608) = ( 78590 × 78608) / 2
LCM(78590,78608) = 6177802720 / 2
LCM(78590,78608) = 3088901360

Least Common Multiple (LCM) of 78590 and 78608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78590 and 78608. First we will calculate the prime factors of 78590 and 78608.

Prime Factorization of 78590

Prime Factorization of 78608

Now multiplying the highest exponent prime factors to calculate the LCM of 78590 and 78608.

LCM(78590,78608) = 2⁴ × 5¹ × 29¹ × 271¹ × 17³
LCM(78590,78608) = 3088901360