What is the Least Common Multiple of 87238 and 87257?

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 87238 and 87257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87238 and 87257, than apply into the LCM equation.

GCF(87238,87257) = 1
LCM(87238,87257) = ( 87238 × 87257) / 1
LCM(87238,87257) = 7612126166 / 1
LCM(87238,87257) = 7612126166

Least Common Multiple (LCM) of 87238 and 87257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87238 and 87257. First we will calculate the prime factors of 87238 and 87257.

Prime Factorization of 87238

Prime Factorization of 87257

Now multiplying the highest exponent prime factors to calculate the LCM of 87238 and 87257.

LCM(87238,87257) = 2¹ × 53¹ × 823¹ × 87257¹
LCM(87238,87257) = 7612126166