Least Common Multiple of 8357 and 8364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8357 and 8364 the smallest integer that is 69897948 that is divisible by both numbers.

Least Common Multiple (LCM) of 8357 and 8364 is 69897948.

LCM(8357,8364) = 69897948

LCM of 8357 and 8364

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

LCM of:
and

Least Common Multiple of 8357 and 8364

LCM of 8357 and 8364 is 69897948

Least common multiple can be found by multiplying the highest exponent prime factors of 8357 and 8364. First we will calculate the prime factors of 8357 and 8364.

Prime Factorization of 8357


61 8357
137 137
1

Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:

8357 = 611×1371

Prime Factorization of 8364


2 8364
2 4182
3 2091
17 697
41 41
1

Prime factors of 8364 are 2, 3, 17,41. Prime factorization of 8364 in exponential form is:

8364 = 22×31×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8357 and 8364.

LCM(8357,8364) = 22×31×171×411×611×1371
LCM(8357,8364) = 69897948

Factors of 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1, 61, 137, 8357

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364

Least Common Multiple of 8357 and 8364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8357 and 8364, than apply into the LCM equation.

GCF(8357,8364) = 1
LCM(8357,8364) = ( 8357 × 8364) / 1
LCM(8357,8364) = 69897948 / 1
LCM(8357,8364) = 69897948

Properties of LCM 8357 and 8364

(i) The LCM of 8364 and 8357 is associative

LCM of 8357 and 8364 = LCM of 8364 and 8357

Related Least Common Multiples of 8357

Related Least Common Multiples of 8364

Frequently Asked Questions on LCM of 8357 and 8364

1. What is the LCM of 8357 and 8364?

Answer: LCM of 8357 and 8364 is 69897948.

2. What are the Factors of 8357?

Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.

3. What are the Factors of 8364?

Answer: Factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364. There are 24 integers that are factors of 8364. The greatest factor of 8364 is 8364.

4. How to Find the LCM of 8357 and 8364?

Answer:

Least Common Multiple of 8357 and 8364 = 69897948

Step 1: Find the prime factorization of 8357

8357 = 61 x 137

Step 2: Find the prime factorization of 8364

8364 = 2 x 2 x 3 x 17 x 41

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

LCM = 69897948 = 2 x 2 x 3 x 17 x 41 x 61 x 137

Step 4: Therefore, the least common multiple of 8357 and 8364 is 69897948.