What is the Least Common Multiple of 80189 and 80206?

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 80206 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 80206, than apply into the LCM equation.

GCF(80189,80206) = 17
LCM(80189,80206) = ( 80189 × 80206) / 17
LCM(80189,80206) = 6431638934 / 17
LCM(80189,80206) = 378331702

Least Common Multiple (LCM) of 80189 and 80206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80189 and 80206. First we will calculate the prime factors of 80189 and 80206.

Prime Factorization of 80189

Prime Factorization of 80206

Now multiplying the highest exponent prime factors to calculate the LCM of 80189 and 80206.

LCM(80189,80206) = 17¹ × 53¹ × 89¹ × 2¹ × 7¹ × 337¹
LCM(80189,80206) = 378331702