What is the Least Common Multiple of 93423 and 93432?

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 93432 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 93432, than apply into the LCM equation.

GCF(93423,93432) = 3
LCM(93423,93432) = ( 93423 × 93432) / 3
LCM(93423,93432) = 8728697736 / 3
LCM(93423,93432) = 2909565912

Least Common Multiple (LCM) of 93423 and 93432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93423 and 93432. First we will calculate the prime factors of 93423 and 93432.

Prime Factorization of 93423

Prime Factorization of 93432

Now multiplying the highest exponent prime factors to calculate the LCM of 93423 and 93432.

LCM(93423,93432) = 3¹ × 11¹ × 19¹ × 149¹ × 2³ × 17¹ × 229¹
LCM(93423,93432) = 2909565912