What is the Least Common Multiple of 80194 and 80205?

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 80194 and 80205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80194 and 80205, than apply into the LCM equation.

GCF(80194,80205) = 1
LCM(80194,80205) = ( 80194 × 80205) / 1
LCM(80194,80205) = 6431959770 / 1
LCM(80194,80205) = 6431959770

Least Common Multiple (LCM) of 80194 and 80205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80194 and 80205. First we will calculate the prime factors of 80194 and 80205.

Prime Factorization of 80194

Prime Factorization of 80205

Now multiplying the highest exponent prime factors to calculate the LCM of 80194 and 80205.

LCM(80194,80205) = 2¹ × 101¹ × 397¹ × 3¹ × 5¹ × 5347¹
LCM(80194,80205) = 6431959770