What is the Least Common Multiple of 78014 and 78032?

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 78014 and 78032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78014 and 78032, than apply into the LCM equation.

GCF(78014,78032) = 2
LCM(78014,78032) = ( 78014 × 78032) / 2
LCM(78014,78032) = 6087588448 / 2
LCM(78014,78032) = 3043794224

Least Common Multiple (LCM) of 78014 and 78032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78014 and 78032. First we will calculate the prime factors of 78014 and 78032.

Prime Factorization of 78014

Prime Factorization of 78032

Now multiplying the highest exponent prime factors to calculate the LCM of 78014 and 78032.

LCM(78014,78032) = 2⁴ × 19¹ × 2053¹ × 4877¹
LCM(78014,78032) = 3043794224