What is the Least Common Multiple of 93228 and 93245?

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 93245 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 93245, than apply into the LCM equation.

GCF(93228,93245) = 17
LCM(93228,93245) = ( 93228 × 93245) / 17
LCM(93228,93245) = 8693044860 / 17
LCM(93228,93245) = 511355580

Least Common Multiple (LCM) of 93228 and 93245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93228 and 93245. First we will calculate the prime factors of 93228 and 93245.

Prime Factorization of 93228

Prime Factorization of 93245

Now multiplying the highest exponent prime factors to calculate the LCM of 93228 and 93245.

LCM(93228,93245) = 2² × 3¹ × 17¹ × 457¹ × 5¹ × 1097¹
LCM(93228,93245) = 511355580