What is the Least Common Multiple of 93003 and 93012?

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 93003 and 93012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93003 and 93012, than apply into the LCM equation.

GCF(93003,93012) = 3
LCM(93003,93012) = ( 93003 × 93012) / 3
LCM(93003,93012) = 8650395036 / 3
LCM(93003,93012) = 2883465012

Least Common Multiple (LCM) of 93003 and 93012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93003 and 93012. First we will calculate the prime factors of 93003 and 93012.

Prime Factorization of 93003

Prime Factorization of 93012

Now multiplying the highest exponent prime factors to calculate the LCM of 93003 and 93012.

LCM(93003,93012) = 3¹ × 29¹ × 1069¹ × 2² × 23¹ × 337¹
LCM(93003,93012) = 2883465012