What is the Least Common Multiple of 97173 and 97179?

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 97173 and 97179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97173 and 97179, than apply into the LCM equation.

GCF(97173,97179) = 3
LCM(97173,97179) = ( 97173 × 97179) / 3
LCM(97173,97179) = 9443174967 / 3
LCM(97173,97179) = 3147724989

Least Common Multiple (LCM) of 97173 and 97179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97173 and 97179. First we will calculate the prime factors of 97173 and 97179.

Prime Factorization of 97173

Prime Factorization of 97179

Now multiplying the highest exponent prime factors to calculate the LCM of 97173 and 97179.

LCM(97173,97179) = 3³ × 59¹ × 61¹ × 29¹ × 1117¹
LCM(97173,97179) = 3147724989