What is the Least Common Multiple of 69180 and 69189?

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 69180 and 69189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69180 and 69189, than apply into the LCM equation.

GCF(69180,69189) = 3
LCM(69180,69189) = ( 69180 × 69189) / 3
LCM(69180,69189) = 4786495020 / 3
LCM(69180,69189) = 1595498340

Least Common Multiple (LCM) of 69180 and 69189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69180 and 69189. First we will calculate the prime factors of 69180 and 69189.

Prime Factorization of 69180

Prime Factorization of 69189

Now multiplying the highest exponent prime factors to calculate the LCM of 69180 and 69189.

LCM(69180,69189) = 2² × 3¹ × 5¹ × 1153¹ × 23063¹
LCM(69180,69189) = 1595498340