What is the Least Common Multiple of 80408 and 80412?

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 80408 and 80412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80408 and 80412, than apply into the LCM equation.

GCF(80408,80412) = 4
LCM(80408,80412) = ( 80408 × 80412) / 4
LCM(80408,80412) = 6465768096 / 4
LCM(80408,80412) = 1616442024

Least Common Multiple (LCM) of 80408 and 80412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80408 and 80412. First we will calculate the prime factors of 80408 and 80412.

Prime Factorization of 80408

Prime Factorization of 80412

Now multiplying the highest exponent prime factors to calculate the LCM of 80408 and 80412.

LCM(80408,80412) = 2³ × 19¹ × 23² × 3¹ × 6701¹
LCM(80408,80412) = 1616442024