What is the Least Common Multiple of 78032 and 78049?

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 78032 and 78049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78032 and 78049, than apply into the LCM equation.

GCF(78032,78049) = 1
LCM(78032,78049) = ( 78032 × 78049) / 1
LCM(78032,78049) = 6090319568 / 1
LCM(78032,78049) = 6090319568

Least Common Multiple (LCM) of 78032 and 78049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78032 and 78049. First we will calculate the prime factors of 78032 and 78049.

Prime Factorization of 78032

Prime Factorization of 78049

Now multiplying the highest exponent prime factors to calculate the LCM of 78032 and 78049.

LCM(78032,78049) = 2⁴ × 4877¹ × 78049¹
LCM(78032,78049) = 6090319568