What is the Least Common Multiple of 80189 and 80197?

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 80189 and 80197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80189 and 80197, than apply into the LCM equation.

GCF(80189,80197) = 1
LCM(80189,80197) = ( 80189 × 80197) / 1
LCM(80189,80197) = 6430917233 / 1
LCM(80189,80197) = 6430917233

Least Common Multiple (LCM) of 80189 and 80197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80189 and 80197. First we will calculate the prime factors of 80189 and 80197.

Prime Factorization of 80189

Prime Factorization of 80197

Now multiplying the highest exponent prime factors to calculate the LCM of 80189 and 80197.

LCM(80189,80197) = 17¹ × 53¹ × 89¹ × 13¹ × 31¹ × 199¹
LCM(80189,80197) = 6430917233