What is the Least Common Multiple of 84156 and 84168?

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 84156 and 84168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84156 and 84168, than apply into the LCM equation.

GCF(84156,84168) = 12
LCM(84156,84168) = ( 84156 × 84168) / 12
LCM(84156,84168) = 7083242208 / 12
LCM(84156,84168) = 590270184

Least Common Multiple (LCM) of 84156 and 84168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84156 and 84168. First we will calculate the prime factors of 84156 and 84168.

Prime Factorization of 84156

Prime Factorization of 84168

Now multiplying the highest exponent prime factors to calculate the LCM of 84156 and 84168.

LCM(84156,84168) = 2³ × 3² × 7013¹ × 7¹ × 167¹
LCM(84156,84168) = 590270184