What is the Least Common Multiple of 80175 and 80188?

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 80175 and 80188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80175 and 80188, than apply into the LCM equation.

GCF(80175,80188) = 1
LCM(80175,80188) = ( 80175 × 80188) / 1
LCM(80175,80188) = 6429072900 / 1
LCM(80175,80188) = 6429072900

Least Common Multiple (LCM) of 80175 and 80188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80175 and 80188. First we will calculate the prime factors of 80175 and 80188.

Prime Factorization of 80175

Prime Factorization of 80188

Now multiplying the highest exponent prime factors to calculate the LCM of 80175 and 80188.

LCM(80175,80188) = 3¹ × 5² × 1069¹ × 2² × 20047¹
LCM(80175,80188) = 6429072900