What is the Least Common Multiple of 80456 and 80470?

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 80456 and 80470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80456 and 80470, than apply into the LCM equation.

GCF(80456,80470) = 2
LCM(80456,80470) = ( 80456 × 80470) / 2
LCM(80456,80470) = 6474294320 / 2
LCM(80456,80470) = 3237147160

Least Common Multiple (LCM) of 80456 and 80470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80456 and 80470. First we will calculate the prime factors of 80456 and 80470.

Prime Factorization of 80456

Prime Factorization of 80470

Now multiplying the highest exponent prime factors to calculate the LCM of 80456 and 80470.

LCM(80456,80470) = 2³ × 89¹ × 113¹ × 5¹ × 13¹ × 619¹
LCM(80456,80470) = 3237147160