What is the Least Common Multiple of 93234 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 93234 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 93234 and 93250, than apply into the LCM equation.

GCF(93234,93250) = 2
LCM(93234,93250) = ( 93234 × 93250) / 2
LCM(93234,93250) = 8694070500 / 2
LCM(93234,93250) = 4347035250

Least Common Multiple (LCM) of 93234 and 93250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93234 and 93250. First we will calculate the prime factors of 93234 and 93250.

Prime Factorization of 93234

Prime Factorization of 93250

Now multiplying the highest exponent prime factors to calculate the LCM of 93234 and 93250.

LCM(93234,93250) = 2¹ × 3¹ × 41¹ × 379¹ × 5³ × 373¹
LCM(93234,93250) = 4347035250