What is the Least Common Multiple of 17381 and 17396?

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 17381 and 17396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17381 and 17396, than apply into the LCM equation.

GCF(17381,17396) = 1
LCM(17381,17396) = ( 17381 × 17396) / 1
LCM(17381,17396) = 302359876 / 1
LCM(17381,17396) = 302359876

Least Common Multiple (LCM) of 17381 and 17396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17381 and 17396. First we will calculate the prime factors of 17381 and 17396.

Prime Factorization of 17381

Prime Factorization of 17396

Now multiplying the highest exponent prime factors to calculate the LCM of 17381 and 17396.

LCM(17381,17396) = 7¹ × 13¹ × 191¹ × 2² × 4349¹
LCM(17381,17396) = 302359876