What is the Least Common Multiple of 84172 and 84182?

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 84172 and 84182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84172 and 84182, than apply into the LCM equation.

GCF(84172,84182) = 2
LCM(84172,84182) = ( 84172 × 84182) / 2
LCM(84172,84182) = 7085767304 / 2
LCM(84172,84182) = 3542883652

Least Common Multiple (LCM) of 84172 and 84182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84172 and 84182. First we will calculate the prime factors of 84172 and 84182.

Prime Factorization of 84172

Prime Factorization of 84182

Now multiplying the highest exponent prime factors to calculate the LCM of 84172 and 84182.

LCM(84172,84182) = 2² × 11¹ × 1913¹ × 7² × 859¹
LCM(84172,84182) = 3542883652