What is the Least Common Multiple of 69174 and 69182?

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 69174 and 69182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69174 and 69182, than apply into the LCM equation.

GCF(69174,69182) = 2
LCM(69174,69182) = ( 69174 × 69182) / 2
LCM(69174,69182) = 4785595668 / 2
LCM(69174,69182) = 2392797834

Least Common Multiple (LCM) of 69174 and 69182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69174 and 69182. First we will calculate the prime factors of 69174 and 69182.

Prime Factorization of 69174

Prime Factorization of 69182

Now multiplying the highest exponent prime factors to calculate the LCM of 69174 and 69182.

LCM(69174,69182) = 2¹ × 3⁴ × 7¹ × 61¹ × 34591¹
LCM(69174,69182) = 2392797834