Least Common Multiple of 4388 and 4392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4388 and 4392 the smallest integer that is 4818024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4388 and 4392 is 4818024.

LCM(4388,4392) = 4818024

LCM of 4388 and 4392

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

LCM of:
and

Least Common Multiple of 4388 and 4392

LCM of 4388 and 4392 is 4818024

Least common multiple can be found by multiplying the highest exponent prime factors of 4388 and 4392. First we will calculate the prime factors of 4388 and 4392.

Prime Factorization of 4388


2 4388
2 2194
1097 1097
1

Prime factors of 4388 are 2,1097. Prime factorization of 4388 in exponential form is:

4388 = 22×10971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4388 and 4392.

LCM(4388,4392) = 23×32×611×10971
LCM(4388,4392) = 4818024

Factors of 4388

List of positive integer factors of 4388 that divides 4388 without a remainder.

1, 2, 4, 1097, 2194, 4388

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

Least Common Multiple of 4388 and 4392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4388 and 4392, than apply into the LCM equation.

GCF(4388,4392) = 4
LCM(4388,4392) = ( 4388 × 4392) / 4
LCM(4388,4392) = 19272096 / 4
LCM(4388,4392) = 4818024

Properties of LCM 4388 and 4392

(i) The LCM of 4392 and 4388 is associative

LCM of 4388 and 4392 = LCM of 4392 and 4388

Related Least Common Multiples of 4388

Related Least Common Multiples of 4392

Frequently Asked Questions on LCM of 4388 and 4392

1. What is the LCM of 4388 and 4392?

Answer: LCM of 4388 and 4392 is 4818024.

2. What are the Factors of 4388?

Answer: Factors of 4388 are 1, 2, 4, 1097, 2194, 4388. There are 6 integers that are factors of 4388. The greatest factor of 4388 is 4388.

3. 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.

4. How to Find the LCM of 4388 and 4392?

Answer:

Least Common Multiple of 4388 and 4392 = 4818024

Step 1: Find the prime factorization of 4388

4388 = 2 x 2 x 1097

Step 2: Find the prime factorization of 4392

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

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

LCM = 4818024 = 2 x 2 x 2 x 3 x 3 x 61 x 1097

Step 4: Therefore, the least common multiple of 4388 and 4392 is 4818024.