Least Common Multiple of 4396 and 4400

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 4400 the smallest integer that is 4835600 that is divisible by both numbers.

Least Common Multiple (LCM) of 4396 and 4400 is 4835600.

LCM(4396,4400) = 4835600

LCM of 4396 and 4400

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

LCM of:
and

Least Common Multiple of 4396 and 4400

LCM of 4396 and 4400 is 4835600

Least common multiple can be found by multiplying the highest exponent prime factors of 4396 and 4400. First we will calculate the prime factors of 4396 and 4400.

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 4400


2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 4400 are 2, 5,11. Prime factorization of 4400 in exponential form is:

4400 = 24×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4396 and 4400.

LCM(4396,4400) = 24×52×71×111×1571
LCM(4396,4400) = 4835600

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 4400

List of positive integer factors of 4400 that divides 4400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

Least Common Multiple of 4396 and 4400 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 4400, than apply into the LCM equation.

GCF(4396,4400) = 4
LCM(4396,4400) = ( 4396 × 4400) / 4
LCM(4396,4400) = 19342400 / 4
LCM(4396,4400) = 4835600

Properties of LCM 4396 and 4400

(i) The LCM of 4400 and 4396 is associative

LCM of 4396 and 4400 = LCM of 4400 and 4396

Related Least Common Multiples of 4396

Related Least Common Multiples of 4400

Frequently Asked Questions on LCM of 4396 and 4400

1. What is the LCM of 4396 and 4400?

Answer: LCM of 4396 and 4400 is 4835600.

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 4400?

Answer: Factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400. There are 30 integers that are factors of 4400. The greatest factor of 4400 is 4400.

4. How to Find the LCM of 4396 and 4400?

Answer:

Least Common Multiple of 4396 and 4400 = 4835600

Step 1: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

Step 2: Find the prime factorization of 4400

4400 = 2 x 2 x 2 x 2 x 5 x 5 x 11

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

LCM = 4835600 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 157

Step 4: Therefore, the least common multiple of 4396 and 4400 is 4835600.