What is the Least Common Multiple of 84147 and 84159?

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 84159 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 84159, than apply into the LCM equation.

GCF(84147,84159) = 3
LCM(84147,84159) = ( 84147 × 84159) / 3
LCM(84147,84159) = 7081727373 / 3
LCM(84147,84159) = 2360575791

Least Common Multiple (LCM) of 84147 and 84159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84147 and 84159. First we will calculate the prime factors of 84147 and 84159.

Prime Factorization of 84147

Prime Factorization of 84159

Now multiplying the highest exponent prime factors to calculate the LCM of 84147 and 84159.

LCM(84147,84159) = 3⁴ × 7¹ × 4007¹ × 1039¹
LCM(84147,84159) = 2360575791