What is the Least Common Multiple of 96168 and 96174?

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 96168 and 96174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96168 and 96174, than apply into the LCM equation.

GCF(96168,96174) = 6
LCM(96168,96174) = ( 96168 × 96174) / 6
LCM(96168,96174) = 9248861232 / 6
LCM(96168,96174) = 1541476872

Least Common Multiple (LCM) of 96168 and 96174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96168 and 96174. First we will calculate the prime factors of 96168 and 96174.

Prime Factorization of 96168

Prime Factorization of 96174

Now multiplying the highest exponent prime factors to calculate the LCM of 96168 and 96174.

LCM(96168,96174) = 2³ × 3³ × 4007¹ × 13¹ × 137¹
LCM(96168,96174) = 1541476872