What is the Least Common Multiple of 69174 and 69180?

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 69180 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 69180, than apply into the LCM equation.

GCF(69174,69180) = 6
LCM(69174,69180) = ( 69174 × 69180) / 6
LCM(69174,69180) = 4785457320 / 6
LCM(69174,69180) = 797576220

Least Common Multiple (LCM) of 69174 and 69180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69174 and 69180. First we will calculate the prime factors of 69174 and 69180.

Prime Factorization of 69174

Prime Factorization of 69180

Now multiplying the highest exponent prime factors to calculate the LCM of 69174 and 69180.

LCM(69174,69180) = 2² × 3⁴ × 7¹ × 61¹ × 5¹ × 1153¹
LCM(69174,69180) = 797576220