What is the Least Common Multiple of 87168 and 87174?

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 87168 and 87174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87168 and 87174, than apply into the LCM equation.

GCF(87168,87174) = 6
LCM(87168,87174) = ( 87168 × 87174) / 6
LCM(87168,87174) = 7598783232 / 6
LCM(87168,87174) = 1266463872

Least Common Multiple (LCM) of 87168 and 87174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87168 and 87174. First we will calculate the prime factors of 87168 and 87174.

Prime Factorization of 87168

Prime Factorization of 87174

Now multiplying the highest exponent prime factors to calculate the LCM of 87168 and 87174.

LCM(87168,87174) = 2⁷ × 3² × 227¹ × 29¹ × 167¹
LCM(87168,87174) = 1266463872