What is the Least Common Multiple of 35238 and 35257?

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 35238 and 35257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35238 and 35257, than apply into the LCM equation.

GCF(35238,35257) = 1
LCM(35238,35257) = ( 35238 × 35257) / 1
LCM(35238,35257) = 1242386166 / 1
LCM(35238,35257) = 1242386166

Least Common Multiple (LCM) of 35238 and 35257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35238 and 35257. First we will calculate the prime factors of 35238 and 35257.

Prime Factorization of 35238

Prime Factorization of 35257

Now multiplying the highest exponent prime factors to calculate the LCM of 35238 and 35257.

LCM(35238,35257) = 2¹ × 3¹ × 7¹ × 839¹ × 35257¹
LCM(35238,35257) = 1242386166