Least Common Multiple of 4384 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 4384 and 4392 the smallest integer that is 2406816 that is divisible by both numbers.

Least Common Multiple (LCM) of 4384 and 4392 is 2406816.

LCM(4384,4392) = 2406816

LCM of 4384 and 4392

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

LCM of:
and

Least Common Multiple of 4384 and 4392

LCM of 4384 and 4392 is 2406816

Least common multiple can be found by multiplying the highest exponent prime factors of 4384 and 4392. First we will calculate the prime factors of 4384 and 4392.

Prime Factorization of 4384


2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:

4384 = 25×1371

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 4384 and 4392.

LCM(4384,4392) = 25×32×611×1371
LCM(4384,4392) = 2406816

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384

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 4384 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 4384 and 4392, than apply into the LCM equation.

GCF(4384,4392) = 8
LCM(4384,4392) = ( 4384 × 4392) / 8
LCM(4384,4392) = 19254528 / 8
LCM(4384,4392) = 2406816

Properties of LCM 4384 and 4392

(i) The LCM of 4392 and 4384 is associative

LCM of 4384 and 4392 = LCM of 4392 and 4384

Related Least Common Multiples of 4384

Related Least Common Multiples of 4392

Frequently Asked Questions on LCM of 4384 and 4392

1. What is the LCM of 4384 and 4392?

Answer: LCM of 4384 and 4392 is 2406816.

2. What are the Factors of 4384?

Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.

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 4384 and 4392?

Answer:

Least Common Multiple of 4384 and 4392 = 2406816

Step 1: Find the prime factorization of 4384

4384 = 2 x 2 x 2 x 2 x 2 x 137

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 = 2406816 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 61 x 137

Step 4: Therefore, the least common multiple of 4384 and 4392 is 2406816.