What is the Least Common Multiple of 93114 and 93123?

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 93114 and 93123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93114 and 93123, than apply into the LCM equation.

GCF(93114,93123) = 9
LCM(93114,93123) = ( 93114 × 93123) / 9
LCM(93114,93123) = 8671055022 / 9
LCM(93114,93123) = 963450558

Least Common Multiple (LCM) of 93114 and 93123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93114 and 93123. First we will calculate the prime factors of 93114 and 93123.

Prime Factorization of 93114

Prime Factorization of 93123

Now multiplying the highest exponent prime factors to calculate the LCM of 93114 and 93123.

LCM(93114,93123) = 2¹ × 3³ × 7¹ × 739¹ × 3449¹
LCM(93114,93123) = 963450558