Least Common Multiple of 4396 and 4401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4396 and 4401 the smallest integer that is 19346796 that is divisible by both numbers.

Least Common Multiple (LCM) of 4396 and 4401 is 19346796.

LCM(4396,4401) = 19346796

LCM of 4396 and 4401

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

LCM of:
and

Least Common Multiple of 4396 and 4401

LCM of 4396 and 4401 is 19346796

Least common multiple can be found by multiplying the highest exponent prime factors of 4396 and 4401. First we will calculate the prime factors of 4396 and 4401.

Prime Factorization of 4396


2 4396
2 2198
7 1099
157 157
1

Prime factors of 4396 are 2, 7,157. Prime factorization of 4396 in exponential form is:

4396 = 22×71×1571

Prime Factorization of 4401


3 4401
3 1467
3 489
163 163
1

Prime factors of 4401 are 3,163. Prime factorization of 4401 in exponential form is:

4401 = 33×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4396 and 4401.

LCM(4396,4401) = 22×33×71×1571×1631
LCM(4396,4401) = 19346796

Factors of 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396

Factors of 4401

List of positive integer factors of 4401 that divides 4401 without a remainder.

1, 3, 9, 27, 163, 489, 1467, 4401

Least Common Multiple of 4396 and 4401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4396 and 4401, than apply into the LCM equation.

GCF(4396,4401) = 1
LCM(4396,4401) = ( 4396 × 4401) / 1
LCM(4396,4401) = 19346796 / 1
LCM(4396,4401) = 19346796

Properties of LCM 4396 and 4401

(i) The LCM of 4401 and 4396 is associative

LCM of 4396 and 4401 = LCM of 4401 and 4396

Related Least Common Multiples of 4396

Related Least Common Multiples of 4401

Frequently Asked Questions on LCM of 4396 and 4401

1. What is the LCM of 4396 and 4401?

Answer: LCM of 4396 and 4401 is 19346796.

2. What are the Factors of 4396?

Answer: Factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396. There are 12 integers that are factors of 4396. The greatest factor of 4396 is 4396.

3. What are the Factors of 4401?

Answer: Factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401. There are 8 integers that are factors of 4401. The greatest factor of 4401 is 4401.

4. How to Find the LCM of 4396 and 4401?

Answer:

Least Common Multiple of 4396 and 4401 = 19346796

Step 1: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

Step 2: Find the prime factorization of 4401

4401 = 3 x 3 x 3 x 163

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

LCM = 19346796 = 2 x 2 x 3 x 3 x 3 x 7 x 157 x 163

Step 4: Therefore, the least common multiple of 4396 and 4401 is 19346796.