What is the Least Common Multiple of 78005 and 78016?

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 78005 and 78016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78005 and 78016, than apply into the LCM equation.

GCF(78005,78016) = 1
LCM(78005,78016) = ( 78005 × 78016) / 1
LCM(78005,78016) = 6085638080 / 1
LCM(78005,78016) = 6085638080

Least Common Multiple (LCM) of 78005 and 78016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78005 and 78016. First we will calculate the prime factors of 78005 and 78016.

Prime Factorization of 78005

Prime Factorization of 78016

Now multiplying the highest exponent prime factors to calculate the LCM of 78005 and 78016.

LCM(78005,78016) = 5¹ × 15601¹ × 2⁶ × 23¹ × 53¹
LCM(78005,78016) = 6085638080