What is the Least Common Multiple of 84175 and 84194?

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 84175 and 84194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84175 and 84194, than apply into the LCM equation.

GCF(84175,84194) = 1
LCM(84175,84194) = ( 84175 × 84194) / 1
LCM(84175,84194) = 7087029950 / 1
LCM(84175,84194) = 7087029950

Least Common Multiple (LCM) of 84175 and 84194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84175 and 84194. First we will calculate the prime factors of 84175 and 84194.

Prime Factorization of 84175

Prime Factorization of 84194

Now multiplying the highest exponent prime factors to calculate the LCM of 84175 and 84194.

LCM(84175,84194) = 5² × 7¹ × 13¹ × 37¹ × 2¹ × 11¹ × 43¹ × 89¹
LCM(84175,84194) = 7087029950