What is the Least Common Multiple of 93425 and 93438?

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 93425 and 93438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93425 and 93438, than apply into the LCM equation.

GCF(93425,93438) = 1
LCM(93425,93438) = ( 93425 × 93438) / 1
LCM(93425,93438) = 8729445150 / 1
LCM(93425,93438) = 8729445150

Least Common Multiple (LCM) of 93425 and 93438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93425 and 93438. First we will calculate the prime factors of 93425 and 93438.

Prime Factorization of 93425

Prime Factorization of 93438

Now multiplying the highest exponent prime factors to calculate the LCM of 93425 and 93438.

LCM(93425,93438) = 5² × 37¹ × 101¹ × 2¹ × 3² × 29¹ × 179¹
LCM(93425,93438) = 8729445150