What is the Least Common Multiple of 93200 and 93219?

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 93200 and 93219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93200 and 93219, than apply into the LCM equation.

GCF(93200,93219) = 1
LCM(93200,93219) = ( 93200 × 93219) / 1
LCM(93200,93219) = 8688010800 / 1
LCM(93200,93219) = 8688010800

Least Common Multiple (LCM) of 93200 and 93219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93200 and 93219. First we will calculate the prime factors of 93200 and 93219.

Prime Factorization of 93200

Prime Factorization of 93219

Now multiplying the highest exponent prime factors to calculate the LCM of 93200 and 93219.

LCM(93200,93219) = 2⁴ × 5² × 233¹ × 3¹ × 7¹ × 23¹ × 193¹
LCM(93200,93219) = 8688010800