Least Common Multiple of 4392 and 4396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4392 and 4396 the smallest integer that is 4826808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4392 and 4396 is 4826808.

LCM(4392,4396) = 4826808

LCM of 4392 and 4396

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

LCM of:
and

Least Common Multiple of 4392 and 4396

LCM of 4392 and 4396 is 4826808

Least common multiple can be found by multiplying the highest exponent prime factors of 4392 and 4396. First we will calculate the prime factors of 4392 and 4396.

Prime Factorization of 4392


2 4392
2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 4392 are 2, 3,61. Prime factorization of 4392 in exponential form is:

4392 = 23×32×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4392 and 4396.

LCM(4392,4396) = 23×32×71×611×1571
LCM(4392,4396) = 4826808

Factors of 4392

List of positive integer factors of 4392 that divides 4392 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392

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

Least Common Multiple of 4392 and 4396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4392 and 4396, than apply into the LCM equation.

GCF(4392,4396) = 4
LCM(4392,4396) = ( 4392 × 4396) / 4
LCM(4392,4396) = 19307232 / 4
LCM(4392,4396) = 4826808

Properties of LCM 4392 and 4396

(i) The LCM of 4396 and 4392 is associative

LCM of 4392 and 4396 = LCM of 4396 and 4392

Related Least Common Multiples of 4392

Related Least Common Multiples of 4396

Frequently Asked Questions on LCM of 4392 and 4396

1. What is the LCM of 4392 and 4396?

Answer: LCM of 4392 and 4396 is 4826808.

2. What are the Factors of 4392?

Answer: Factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392. There are 24 integers that are factors of 4392. The greatest factor of 4392 is 4392.

3. 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.

4. How to Find the LCM of 4392 and 4396?

Answer:

Least Common Multiple of 4392 and 4396 = 4826808

Step 1: Find the prime factorization of 4392

4392 = 2 x 2 x 2 x 3 x 3 x 61

Step 2: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

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

LCM = 4826808 = 2 x 2 x 2 x 3 x 3 x 7 x 61 x 157

Step 4: Therefore, the least common multiple of 4392 and 4396 is 4826808.