Least Common Multiple of 8358 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 8358 and 8364 the smallest integer that is 11651052 that is divisible by both numbers.

Least Common Multiple (LCM) of 8358 and 8364 is 11651052.

LCM(8358,8364) = 11651052

LCM of 8358 and 8364

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

LCM of:
and

Least Common Multiple of 8358 and 8364

LCM of 8358 and 8364 is 11651052

Least common multiple can be found by multiplying the highest exponent prime factors of 8358 and 8364. First we will calculate the prime factors of 8358 and 8364.

Prime Factorization of 8358


2 8358
3 4179
7 1393
199 199
1

Prime factors of 8358 are 2, 3, 7,199. Prime factorization of 8358 in exponential form is:

8358 = 21×31×71×1991

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 8358 and 8364.

LCM(8358,8364) = 22×31×71×171×411×1991
LCM(8358,8364) = 11651052

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358

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 8358 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 8358 and 8364, than apply into the LCM equation.

GCF(8358,8364) = 6
LCM(8358,8364) = ( 8358 × 8364) / 6
LCM(8358,8364) = 69906312 / 6
LCM(8358,8364) = 11651052

Properties of LCM 8358 and 8364

(i) The LCM of 8364 and 8358 is associative

LCM of 8358 and 8364 = LCM of 8364 and 8358

Related Least Common Multiples of 8358

Related Least Common Multiples of 8364

Frequently Asked Questions on LCM of 8358 and 8364

1. What is the LCM of 8358 and 8364?

Answer: LCM of 8358 and 8364 is 11651052.

2. What are the Factors of 8358?

Answer: Factors of 8358 are 1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358. There are 16 integers that are factors of 8358. The greatest factor of 8358 is 8358.

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 8358 and 8364?

Answer:

Least Common Multiple of 8358 and 8364 = 11651052

Step 1: Find the prime factorization of 8358

8358 = 2 x 3 x 7 x 199

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 = 11651052 = 2 x 2 x 3 x 7 x 17 x 41 x 199

Step 4: Therefore, the least common multiple of 8358 and 8364 is 11651052.