Least Common Multiple of 4396 and 4402

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 4402 the smallest integer that is 9675596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4396 and 4402 is 9675596.

LCM(4396,4402) = 9675596

LCM of 4396 and 4402

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

LCM of:
and

Least Common Multiple of 4396 and 4402

LCM of 4396 and 4402 is 9675596

Least common multiple can be found by multiplying the highest exponent prime factors of 4396 and 4402. First we will calculate the prime factors of 4396 and 4402.

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 4402


2 4402
31 2201
71 71
1

Prime factors of 4402 are 2, 31,71. Prime factorization of 4402 in exponential form is:

4402 = 21×311×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4396 and 4402.

LCM(4396,4402) = 22×71×311×711×1571
LCM(4396,4402) = 9675596

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 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1, 2, 31, 62, 71, 142, 2201, 4402

Least Common Multiple of 4396 and 4402 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 4402, than apply into the LCM equation.

GCF(4396,4402) = 2
LCM(4396,4402) = ( 4396 × 4402) / 2
LCM(4396,4402) = 19351192 / 2
LCM(4396,4402) = 9675596

Properties of LCM 4396 and 4402

(i) The LCM of 4402 and 4396 is associative

LCM of 4396 and 4402 = LCM of 4402 and 4396

Related Least Common Multiples of 4396

Related Least Common Multiples of 4402

Frequently Asked Questions on LCM of 4396 and 4402

1. What is the LCM of 4396 and 4402?

Answer: LCM of 4396 and 4402 is 9675596.

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 4402?

Answer: Factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402. There are 8 integers that are factors of 4402. The greatest factor of 4402 is 4402.

4. How to Find the LCM of 4396 and 4402?

Answer:

Least Common Multiple of 4396 and 4402 = 9675596

Step 1: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

Step 2: Find the prime factorization of 4402

4402 = 2 x 31 x 71

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

LCM = 9675596 = 2 x 2 x 7 x 31 x 71 x 157

Step 4: Therefore, the least common multiple of 4396 and 4402 is 9675596.