What is the Least Common Multiple of 93228 and 93234?

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 93228 and 93234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93228 and 93234, than apply into the LCM equation.

GCF(93228,93234) = 6
LCM(93228,93234) = ( 93228 × 93234) / 6
LCM(93228,93234) = 8692019352 / 6
LCM(93228,93234) = 1448669892

Least Common Multiple (LCM) of 93228 and 93234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93228 and 93234. First we will calculate the prime factors of 93228 and 93234.

Prime Factorization of 93228

Prime Factorization of 93234

Now multiplying the highest exponent prime factors to calculate the LCM of 93228 and 93234.

LCM(93228,93234) = 2² × 3¹ × 17¹ × 457¹ × 41¹ × 379¹
LCM(93228,93234) = 1448669892