Least Common Multiple of 397 and 404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 397 and 404 the smallest integer that is 160388 that is divisible by both numbers.

Least Common Multiple (LCM) of 397 and 404 is 160388.

LCM(397,404) = 160388

LCM of 397 and 404

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 397 and 404

LCM of 397 and 404 is 160388

Least common multiple can be found by multiplying the highest exponent prime factors of 397 and 404. First we will calculate the prime factors of 397 and 404.

Prime Factorization of 397


397 397
1

Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:

397 = 3971

Prime Factorization of 404


2 404
2 202
101 101
1

Prime factors of 404 are 2,101. Prime factorization of 404 in exponential form is:

404 = 22×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 397 and 404.

LCM(397,404) = 22×1011×3971
LCM(397,404) = 160388

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1, 397

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Least Common Multiple of 397 and 404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 404, than apply into the LCM equation.

GCF(397,404) = 1
LCM(397,404) = ( 397 × 404) / 1
LCM(397,404) = 160388 / 1
LCM(397,404) = 160388

Properties of LCM 397 and 404

(i) The LCM of 404 and 397 is associative

LCM of 397 and 404 = LCM of 404 and 397

Related Least Common Multiples of 397

Related Least Common Multiples of 404

Frequently Asked Questions on LCM of 397 and 404

1. What is the LCM of 397 and 404?

Answer: LCM of 397 and 404 is 160388.

2. What are the Factors of 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

3. What are the Factors of 404?

Answer: Factors of 404 are 1, 2, 4, 101, 202, 404. There are 6 integers that are factors of 404. The greatest factor of 404 is 404.

4. How to Find the LCM of 397 and 404?

Answer:

Least Common Multiple of 397 and 404 = 160388

Step 1: Find the prime factorization of 397

397 = 397

Step 2: Find the prime factorization of 404

404 = 2 x 2 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 160388 = 2 x 2 x 101 x 397

Step 4: Therefore, the least common multiple of 397 and 404 is 160388.