Least Common Multiple of 4386 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 4386 and 4392 the smallest integer that is 3210552 that is divisible by both numbers.

Least Common Multiple (LCM) of 4386 and 4392 is 3210552.

LCM(4386,4392) = 3210552

LCM of 4386 and 4392

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

LCM of:
and

Least Common Multiple of 4386 and 4392

LCM of 4386 and 4392 is 3210552

Least common multiple can be found by multiplying the highest exponent prime factors of 4386 and 4392. First we will calculate the prime factors of 4386 and 4392.

Prime Factorization of 4386


2 4386
3 2193
17 731
43 43
1

Prime factors of 4386 are 2, 3, 17,43. Prime factorization of 4386 in exponential form is:

4386 = 21×31×171×431

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 4386 and 4392.

LCM(4386,4392) = 23×32×171×431×611
LCM(4386,4392) = 3210552

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386

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 4386 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 4386 and 4392, than apply into the LCM equation.

GCF(4386,4392) = 6
LCM(4386,4392) = ( 4386 × 4392) / 6
LCM(4386,4392) = 19263312 / 6
LCM(4386,4392) = 3210552

Properties of LCM 4386 and 4392

(i) The LCM of 4392 and 4386 is associative

LCM of 4386 and 4392 = LCM of 4392 and 4386

Related Least Common Multiples of 4386

Related Least Common Multiples of 4392

Frequently Asked Questions on LCM of 4386 and 4392

1. What is the LCM of 4386 and 4392?

Answer: LCM of 4386 and 4392 is 3210552.

2. What are the Factors of 4386?

Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.

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 4386 and 4392?

Answer:

Least Common Multiple of 4386 and 4392 = 3210552

Step 1: Find the prime factorization of 4386

4386 = 2 x 3 x 17 x 43

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 = 3210552 = 2 x 2 x 2 x 3 x 3 x 17 x 43 x 61

Step 4: Therefore, the least common multiple of 4386 and 4392 is 3210552.