What is the Least Common Multiple of 93230 and 93250?

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 93230 and 93250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93230 and 93250, than apply into the LCM equation.

GCF(93230,93250) = 10
LCM(93230,93250) = ( 93230 × 93250) / 10
LCM(93230,93250) = 8693697500 / 10
LCM(93230,93250) = 869369750

Least Common Multiple (LCM) of 93230 and 93250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93230 and 93250. First we will calculate the prime factors of 93230 and 93250.

Prime Factorization of 93230

Prime Factorization of 93250

Now multiplying the highest exponent prime factors to calculate the LCM of 93230 and 93250.

LCM(93230,93250) = 2¹ × 5³ × 9323¹ × 373¹
LCM(93230,93250) = 869369750