Least Common Multiple of 8374 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 8374 and 8382 the smallest integer that is 35095434 that is divisible by both numbers.

Least Common Multiple (LCM) of 8374 and 8382 is 35095434.

LCM(8374,8382) = 35095434

LCM of 8374 and 8382

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

LCM of:
and

Least Common Multiple of 8374 and 8382

LCM of 8374 and 8382 is 35095434

Least common multiple can be found by multiplying the highest exponent prime factors of 8374 and 8382. First we will calculate the prime factors of 8374 and 8382.

Prime Factorization of 8374


2 8374
53 4187
79 79
1

Prime factors of 8374 are 2, 53,79. Prime factorization of 8374 in exponential form is:

8374 = 21×531×791

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 8374 and 8382.

LCM(8374,8382) = 21×31×111×531×791×1271
LCM(8374,8382) = 35095434

Factors of 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1, 2, 53, 79, 106, 158, 4187, 8374

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 8374 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 8374 and 8382, than apply into the LCM equation.

GCF(8374,8382) = 2
LCM(8374,8382) = ( 8374 × 8382) / 2
LCM(8374,8382) = 70190868 / 2
LCM(8374,8382) = 35095434

Properties of LCM 8374 and 8382

(i) The LCM of 8382 and 8374 is associative

LCM of 8374 and 8382 = LCM of 8382 and 8374

Related Least Common Multiples of 8374

Related Least Common Multiples of 8382

Frequently Asked Questions on LCM of 8374 and 8382

1. What is the LCM of 8374 and 8382?

Answer: LCM of 8374 and 8382 is 35095434.

2. What are the Factors of 8374?

Answer: Factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374. There are 8 integers that are factors of 8374. The greatest factor of 8374 is 8374.

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 8374 and 8382?

Answer:

Least Common Multiple of 8374 and 8382 = 35095434

Step 1: Find the prime factorization of 8374

8374 = 2 x 53 x 79

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 = 35095434 = 2 x 3 x 11 x 53 x 79 x 127

Step 4: Therefore, the least common multiple of 8374 and 8382 is 35095434.