Least Common Multiple of 4378 and 4384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4378 and 4384 the smallest integer that is 9596576 that is divisible by both numbers.

Least Common Multiple (LCM) of 4378 and 4384 is 9596576.

LCM(4378,4384) = 9596576

LCM of 4378 and 4384

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

LCM of:
and

Least Common Multiple of 4378 and 4384

LCM of 4378 and 4384 is 9596576

Least common multiple can be found by multiplying the highest exponent prime factors of 4378 and 4384. First we will calculate the prime factors of 4378 and 4384.

Prime Factorization of 4378


2 4378
11 2189
199 199
1

Prime factors of 4378 are 2, 11,199. Prime factorization of 4378 in exponential form is:

4378 = 21×111×1991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4378 and 4384.

LCM(4378,4384) = 25×111×1371×1991
LCM(4378,4384) = 9596576

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1, 2, 11, 22, 199, 398, 2189, 4378

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

Least Common Multiple of 4378 and 4384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4378 and 4384, than apply into the LCM equation.

GCF(4378,4384) = 2
LCM(4378,4384) = ( 4378 × 4384) / 2
LCM(4378,4384) = 19193152 / 2
LCM(4378,4384) = 9596576

Properties of LCM 4378 and 4384

(i) The LCM of 4384 and 4378 is associative

LCM of 4378 and 4384 = LCM of 4384 and 4378

Related Least Common Multiples of 4378

Related Least Common Multiples of 4384

Frequently Asked Questions on LCM of 4378 and 4384

1. What is the LCM of 4378 and 4384?

Answer: LCM of 4378 and 4384 is 9596576.

2. What are the Factors of 4378?

Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.

3. 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.

4. How to Find the LCM of 4378 and 4384?

Answer:

Least Common Multiple of 4378 and 4384 = 9596576

Step 1: Find the prime factorization of 4378

4378 = 2 x 11 x 199

Step 2: Find the prime factorization of 4384

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

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

LCM = 9596576 = 2 x 2 x 2 x 2 x 2 x 11 x 137 x 199

Step 4: Therefore, the least common multiple of 4378 and 4384 is 9596576.