Least Common Multiple of 8378 and 8384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8378 and 8384 the smallest integer that is 35120576 that is divisible by both numbers.

Least Common Multiple (LCM) of 8378 and 8384 is 35120576.

LCM(8378,8384) = 35120576

LCM of 8378 and 8384

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

LCM of:
and

Least Common Multiple of 8378 and 8384

LCM of 8378 and 8384 is 35120576

Least common multiple can be found by multiplying the highest exponent prime factors of 8378 and 8384. First we will calculate the prime factors of 8378 and 8384.

Prime Factorization of 8378


2 8378
59 4189
71 71
1

Prime factors of 8378 are 2, 59,71. Prime factorization of 8378 in exponential form is:

8378 = 21×591×711

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 8378 and 8384.

LCM(8378,8384) = 26×591×711×1311
LCM(8378,8384) = 35120576

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1, 2, 59, 71, 118, 142, 4189, 8378

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384

Least Common Multiple of 8378 and 8384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8378 and 8384, than apply into the LCM equation.

GCF(8378,8384) = 2
LCM(8378,8384) = ( 8378 × 8384) / 2
LCM(8378,8384) = 70241152 / 2
LCM(8378,8384) = 35120576

Properties of LCM 8378 and 8384

(i) The LCM of 8384 and 8378 is associative

LCM of 8378 and 8384 = LCM of 8384 and 8378

Related Least Common Multiples of 8378

Related Least Common Multiples of 8384

Frequently Asked Questions on LCM of 8378 and 8384

1. What is the LCM of 8378 and 8384?

Answer: LCM of 8378 and 8384 is 35120576.

2. What are the Factors of 8378?

Answer: Factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378. There are 8 integers that are factors of 8378. The greatest factor of 8378 is 8378.

3. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

4. How to Find the LCM of 8378 and 8384?

Answer:

Least Common Multiple of 8378 and 8384 = 35120576

Step 1: Find the prime factorization of 8378

8378 = 2 x 59 x 71

Step 2: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

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

LCM = 35120576 = 2 x 2 x 2 x 2 x 2 x 2 x 59 x 71 x 131

Step 4: Therefore, the least common multiple of 8378 and 8384 is 35120576.