Least Common Multiple of 8378 and 8382

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 8382 the smallest integer that is 35112198 that is divisible by both numbers.

Least Common Multiple (LCM) of 8378 and 8382 is 35112198.

LCM(8378,8382) = 35112198

LCM of 8378 and 8382

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

LCM of:
and

Least Common Multiple of 8378 and 8382

LCM of 8378 and 8382 is 35112198

Least common multiple can be found by multiplying the highest exponent prime factors of 8378 and 8382. First we will calculate the prime factors of 8378 and 8382.

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 8382


2 8382
3 4191
11 1397
127 127
1

Prime factors of 8382 are 2, 3, 11,127. Prime factorization of 8382 in exponential form is:

8382 = 21×31×111×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8378 and 8382.

LCM(8378,8382) = 21×31×111×591×711×1271
LCM(8378,8382) = 35112198

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 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382

Least Common Multiple of 8378 and 8382 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 8382, than apply into the LCM equation.

GCF(8378,8382) = 2
LCM(8378,8382) = ( 8378 × 8382) / 2
LCM(8378,8382) = 70224396 / 2
LCM(8378,8382) = 35112198

Properties of LCM 8378 and 8382

(i) The LCM of 8382 and 8378 is associative

LCM of 8378 and 8382 = LCM of 8382 and 8378

Related Least Common Multiples of 8378

Related Least Common Multiples of 8382

Frequently Asked Questions on LCM of 8378 and 8382

1. What is the LCM of 8378 and 8382?

Answer: LCM of 8378 and 8382 is 35112198.

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 8382?

Answer: Factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. There are 16 integers that are factors of 8382. The greatest factor of 8382 is 8382.

4. How to Find the LCM of 8378 and 8382?

Answer:

Least Common Multiple of 8378 and 8382 = 35112198

Step 1: Find the prime factorization of 8378

8378 = 2 x 59 x 71

Step 2: Find the prime factorization of 8382

8382 = 2 x 3 x 11 x 127

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

LCM = 35112198 = 2 x 3 x 11 x 59 x 71 x 127

Step 4: Therefore, the least common multiple of 8378 and 8382 is 35112198.