What is the Least Common Multiple of 87174 and 87189?

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 87174 and 87189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87174 and 87189, than apply into the LCM equation.

GCF(87174,87189) = 3
LCM(87174,87189) = ( 87174 × 87189) / 3
LCM(87174,87189) = 7600613886 / 3
LCM(87174,87189) = 2533537962

Least Common Multiple (LCM) of 87174 and 87189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87174 and 87189. First we will calculate the prime factors of 87174 and 87189.

Prime Factorization of 87174

Prime Factorization of 87189

Now multiplying the highest exponent prime factors to calculate the LCM of 87174 and 87189.

LCM(87174,87189) = 2¹ × 3² × 29¹ × 167¹ × 29063¹
LCM(87174,87189) = 2533537962