What is the Least Common Multiple of 80456 and 80474?

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 80474 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 80474, than apply into the LCM equation.

GCF(80456,80474) = 2
LCM(80456,80474) = ( 80456 × 80474) / 2
LCM(80456,80474) = 6474616144 / 2
LCM(80456,80474) = 3237308072

Least Common Multiple (LCM) of 80456 and 80474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80456 and 80474. First we will calculate the prime factors of 80456 and 80474.

Prime Factorization of 80456

Prime Factorization of 80474

Now multiplying the highest exponent prime factors to calculate the LCM of 80456 and 80474.

LCM(80456,80474) = 2³ × 89¹ × 113¹ × 40237¹
LCM(80456,80474) = 3237308072