What is the Least Common Multiple of 78586 and 78598?

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 78586 and 78598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78586 and 78598, than apply into the LCM equation.

GCF(78586,78598) = 2
LCM(78586,78598) = ( 78586 × 78598) / 2
LCM(78586,78598) = 6176702428 / 2
LCM(78586,78598) = 3088351214

Least Common Multiple (LCM) of 78586 and 78598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78586 and 78598. First we will calculate the prime factors of 78586 and 78598.

Prime Factorization of 78586

Prime Factorization of 78598

Now multiplying the highest exponent prime factors to calculate the LCM of 78586 and 78598.

LCM(78586,78598) = 2¹ × 39293¹ × 13¹ × 3023¹
LCM(78586,78598) = 3088351214