What is the Least Common Multiple of 93205 and 93223?

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 93205 and 93223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93205 and 93223, than apply into the LCM equation.

GCF(93205,93223) = 1
LCM(93205,93223) = ( 93205 × 93223) / 1
LCM(93205,93223) = 8688849715 / 1
LCM(93205,93223) = 8688849715

Least Common Multiple (LCM) of 93205 and 93223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93205 and 93223. First we will calculate the prime factors of 93205 and 93223.

Prime Factorization of 93205

Prime Factorization of 93223

Now multiplying the highest exponent prime factors to calculate the LCM of 93205 and 93223.

LCM(93205,93223) = 5¹ × 7¹ × 2663¹ × 13¹ × 71¹ × 101¹
LCM(93205,93223) = 8688849715