Least Common Multiple of 404 and 407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 404 and 407 the smallest integer that is 164428 that is divisible by both numbers.

Least Common Multiple (LCM) of 404 and 407 is 164428.

LCM(404,407) = 164428

LCM of 404 and 407

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

LCM of:
and

Least Common Multiple of 404 and 407

LCM of 404 and 407 is 164428

Least common multiple can be found by multiplying the highest exponent prime factors of 404 and 407. First we will calculate the prime factors of 404 and 407.

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

Prime Factorization of 407


11 407
37 37
1

Prime factors of 407 are 11,37. Prime factorization of 407 in exponential form is:

407 = 111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 404 and 407.

LCM(404,407) = 22×111×371×1011
LCM(404,407) = 164428

Factors of 404

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

1, 2, 4, 101, 202, 404

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Least Common Multiple of 404 and 407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 404 and 407, than apply into the LCM equation.

GCF(404,407) = 1
LCM(404,407) = ( 404 × 407) / 1
LCM(404,407) = 164428 / 1
LCM(404,407) = 164428

Properties of LCM 404 and 407

(i) The LCM of 407 and 404 is associative

LCM of 404 and 407 = LCM of 407 and 404

Related Least Common Multiples of 404

Related Least Common Multiples of 407

Frequently Asked Questions on LCM of 404 and 407

1. What is the LCM of 404 and 407?

Answer: LCM of 404 and 407 is 164428.

2. 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.

3. What are the Factors of 407?

Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.

4. How to Find the LCM of 404 and 407?

Answer:

Least Common Multiple of 404 and 407 = 164428

Step 1: Find the prime factorization of 404

404 = 2 x 2 x 101

Step 2: Find the prime factorization of 407

407 = 11 x 37

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

LCM = 164428 = 2 x 2 x 11 x 37 x 101

Step 4: Therefore, the least common multiple of 404 and 407 is 164428.