What is the Least Common Multiple of 78286 and 78293?

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 78286 and 78293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78286 and 78293, than apply into the LCM equation.

GCF(78286,78293) = 1
LCM(78286,78293) = ( 78286 × 78293) / 1
LCM(78286,78293) = 6129245798 / 1
LCM(78286,78293) = 6129245798

Least Common Multiple (LCM) of 78286 and 78293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78286 and 78293. First we will calculate the prime factors of 78286 and 78293.

Prime Factorization of 78286

Prime Factorization of 78293

Now multiplying the highest exponent prime factors to calculate the LCM of 78286 and 78293.

LCM(78286,78293) = 2¹ × 13¹ × 3011¹ × 59¹ × 1327¹
LCM(78286,78293) = 6129245798