What is the Least Common Multiple of 80456 and 80471?

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 80471 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 80471, than apply into the LCM equation.

GCF(80456,80471) = 1
LCM(80456,80471) = ( 80456 × 80471) / 1
LCM(80456,80471) = 6474374776 / 1
LCM(80456,80471) = 6474374776

Least Common Multiple (LCM) of 80456 and 80471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80456 and 80471. First we will calculate the prime factors of 80456 and 80471.

Prime Factorization of 80456

Prime Factorization of 80471

Now multiplying the highest exponent prime factors to calculate the LCM of 80456 and 80471.

LCM(80456,80471) = 2³ × 89¹ × 113¹ × 80471¹
LCM(80456,80471) = 6474374776