What is the Least Common Multiple of 93423 and 93438?

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 93423 and 93438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93423 and 93438, than apply into the LCM equation.

GCF(93423,93438) = 3
LCM(93423,93438) = ( 93423 × 93438) / 3
LCM(93423,93438) = 8729258274 / 3
LCM(93423,93438) = 2909752758

Least Common Multiple (LCM) of 93423 and 93438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93423 and 93438. First we will calculate the prime factors of 93423 and 93438.

Prime Factorization of 93423

Prime Factorization of 93438

Now multiplying the highest exponent prime factors to calculate the LCM of 93423 and 93438.

LCM(93423,93438) = 3² × 11¹ × 19¹ × 149¹ × 2¹ × 29¹ × 179¹
LCM(93423,93438) = 2909752758