What is the Least Common Multiple of 93180 and 93189?

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 93180 and 93189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93180 and 93189, than apply into the LCM equation.

GCF(93180,93189) = 3
LCM(93180,93189) = ( 93180 × 93189) / 3
LCM(93180,93189) = 8683351020 / 3
LCM(93180,93189) = 2894450340

Least Common Multiple (LCM) of 93180 and 93189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93180 and 93189. First we will calculate the prime factors of 93180 and 93189.

Prime Factorization of 93180

Prime Factorization of 93189

Now multiplying the highest exponent prime factors to calculate the LCM of 93180 and 93189.

LCM(93180,93189) = 2² × 3¹ × 5¹ × 1553¹ × 31063¹
LCM(93180,93189) = 2894450340