What is the Least Common Multiple of 93200 and 93210?

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 93210 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 93210, than apply into the LCM equation.

GCF(93200,93210) = 10
LCM(93200,93210) = ( 93200 × 93210) / 10
LCM(93200,93210) = 8687172000 / 10
LCM(93200,93210) = 868717200

Least Common Multiple (LCM) of 93200 and 93210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93200 and 93210. First we will calculate the prime factors of 93200 and 93210.

Prime Factorization of 93200

Prime Factorization of 93210

Now multiplying the highest exponent prime factors to calculate the LCM of 93200 and 93210.

LCM(93200,93210) = 2⁴ × 5² × 233¹ × 3¹ × 13¹ × 239¹
LCM(93200,93210) = 868717200