What is the Least Common Multiple of 80162 and 80167?

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 80162 and 80167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80162 and 80167, than apply into the LCM equation.

GCF(80162,80167) = 1
LCM(80162,80167) = ( 80162 × 80167) / 1
LCM(80162,80167) = 6426347054 / 1
LCM(80162,80167) = 6426347054

Least Common Multiple (LCM) of 80162 and 80167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80162 and 80167. First we will calculate the prime factors of 80162 and 80167.

Prime Factorization of 80162

Prime Factorization of 80167

Now multiplying the highest exponent prime factors to calculate the LCM of 80162 and 80167.

LCM(80162,80167) = 2¹ × 149¹ × 269¹ × 80167¹
LCM(80162,80167) = 6426347054