What is the Least Common Multiple of 80164 and 80172?

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 80164 and 80172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80164 and 80172, than apply into the LCM equation.

GCF(80164,80172) = 4
LCM(80164,80172) = ( 80164 × 80172) / 4
LCM(80164,80172) = 6426908208 / 4
LCM(80164,80172) = 1606727052

Least Common Multiple (LCM) of 80164 and 80172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80164 and 80172. First we will calculate the prime factors of 80164 and 80172.

Prime Factorization of 80164

Prime Factorization of 80172

Now multiplying the highest exponent prime factors to calculate the LCM of 80164 and 80172.

LCM(80164,80172) = 2² × 7² × 409¹ × 3² × 17¹ × 131¹
LCM(80164,80172) = 1606727052