What is the Least Common Multiple of 80408 and 80427?

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 80427 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 80427, than apply into the LCM equation.

GCF(80408,80427) = 19
LCM(80408,80427) = ( 80408 × 80427) / 19
LCM(80408,80427) = 6466974216 / 19
LCM(80408,80427) = 340367064

Least Common Multiple (LCM) of 80408 and 80427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80408 and 80427. First we will calculate the prime factors of 80408 and 80427.

Prime Factorization of 80408

Prime Factorization of 80427

Now multiplying the highest exponent prime factors to calculate the LCM of 80408 and 80427.

LCM(80408,80427) = 2³ × 19¹ × 23² × 3¹ × 17¹ × 83¹
LCM(80408,80427) = 340367064