What is the Least Common Multiple of 84147 and 84161?

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 84147 and 84161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84147 and 84161, than apply into the LCM equation.

GCF(84147,84161) = 7
LCM(84147,84161) = ( 84147 × 84161) / 7
LCM(84147,84161) = 7081895667 / 7
LCM(84147,84161) = 1011699381

Least Common Multiple (LCM) of 84147 and 84161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84147 and 84161. First we will calculate the prime factors of 84147 and 84161.

Prime Factorization of 84147

Prime Factorization of 84161

Now multiplying the highest exponent prime factors to calculate the LCM of 84147 and 84161.

LCM(84147,84161) = 3¹ × 7¹ × 4007¹ × 11¹ × 1093¹
LCM(84147,84161) = 1011699381