What is the Least Common Multiple of 80172 and 80178?

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 80172 and 80178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80172 and 80178, than apply into the LCM equation.

GCF(80172,80178) = 6
LCM(80172,80178) = ( 80172 × 80178) / 6
LCM(80172,80178) = 6428030616 / 6
LCM(80172,80178) = 1071338436

Least Common Multiple (LCM) of 80172 and 80178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80172 and 80178. First we will calculate the prime factors of 80172 and 80178.

Prime Factorization of 80172

Prime Factorization of 80178

Now multiplying the highest exponent prime factors to calculate the LCM of 80172 and 80178.

LCM(80172,80178) = 2² × 3² × 17¹ × 131¹ × 7¹ × 23¹ × 83¹
LCM(80172,80178) = 1071338436