What is the Least Common Multiple of 97168 and 97173?

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 97168 and 97173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97168 and 97173, than apply into the LCM equation.

GCF(97168,97173) = 1
LCM(97168,97173) = ( 97168 × 97173) / 1
LCM(97168,97173) = 9442106064 / 1
LCM(97168,97173) = 9442106064

Least Common Multiple (LCM) of 97168 and 97173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97168 and 97173. First we will calculate the prime factors of 97168 and 97173.

Prime Factorization of 97168

Prime Factorization of 97173

Now multiplying the highest exponent prime factors to calculate the LCM of 97168 and 97173.

LCM(97168,97173) = 2⁴ × 6073¹ × 3³ × 59¹ × 61¹
LCM(97168,97173) = 9442106064