What is the Least Common Multiple of 93219 and 93238?

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 93219 and 93238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93219 and 93238, than apply into the LCM equation.

GCF(93219,93238) = 1
LCM(93219,93238) = ( 93219 × 93238) / 1
LCM(93219,93238) = 8691553122 / 1
LCM(93219,93238) = 8691553122

Least Common Multiple (LCM) of 93219 and 93238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93219 and 93238. First we will calculate the prime factors of 93219 and 93238.

Prime Factorization of 93219

Prime Factorization of 93238

Now multiplying the highest exponent prime factors to calculate the LCM of 93219 and 93238.

LCM(93219,93238) = 3¹ × 7¹ × 23¹ × 193¹ × 2¹ × 46619¹
LCM(93219,93238) = 8691553122