What is the Least Common Multiple of 87174 and 87188?

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 87188 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 87188, than apply into the LCM equation.

GCF(87174,87188) = 2
LCM(87174,87188) = ( 87174 × 87188) / 2
LCM(87174,87188) = 7600526712 / 2
LCM(87174,87188) = 3800263356

Least Common Multiple (LCM) of 87174 and 87188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87174 and 87188. First we will calculate the prime factors of 87174 and 87188.

Prime Factorization of 87174

Prime Factorization of 87188

Now multiplying the highest exponent prime factors to calculate the LCM of 87174 and 87188.

LCM(87174,87188) = 2² × 3² × 29¹ × 167¹ × 71¹ × 307¹
LCM(87174,87188) = 3800263356