What is the Least Common Multiple of 60168 and 60174?

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 60168 and 60174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60168 and 60174, than apply into the LCM equation.

GCF(60168,60174) = 6
LCM(60168,60174) = ( 60168 × 60174) / 6
LCM(60168,60174) = 3620549232 / 6
LCM(60168,60174) = 603424872

Least Common Multiple (LCM) of 60168 and 60174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60168 and 60174. First we will calculate the prime factors of 60168 and 60174.

Prime Factorization of 60168

Prime Factorization of 60174

Now multiplying the highest exponent prime factors to calculate the LCM of 60168 and 60174.

LCM(60168,60174) = 2³ × 3² × 23¹ × 109¹ × 3343¹
LCM(60168,60174) = 603424872