Least Common Multiple of 8358 and 8363

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 8363 the smallest integer that is 69897954 that is divisible by both numbers.

Least Common Multiple (LCM) of 8358 and 8363 is 69897954.

LCM(8358,8363) = 69897954

LCM of 8358 and 8363

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

LCM of:
and

Least Common Multiple of 8358 and 8363

LCM of 8358 and 8363 is 69897954

Least common multiple can be found by multiplying the highest exponent prime factors of 8358 and 8363. First we will calculate the prime factors of 8358 and 8363.

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 8363


8363 8363
1

Prime factors of 8363 are 8363. Prime factorization of 8363 in exponential form is:

8363 = 83631

Now multiplying the highest exponent prime factors to calculate the LCM of 8358 and 8363.

LCM(8358,8363) = 21×31×71×1991×83631
LCM(8358,8363) = 69897954

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 8363

List of positive integer factors of 8363 that divides 8363 without a remainder.

1, 8363

Least Common Multiple of 8358 and 8363 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 8363, than apply into the LCM equation.

GCF(8358,8363) = 1
LCM(8358,8363) = ( 8358 × 8363) / 1
LCM(8358,8363) = 69897954 / 1
LCM(8358,8363) = 69897954

Properties of LCM 8358 and 8363

(i) The LCM of 8363 and 8358 is associative

LCM of 8358 and 8363 = LCM of 8363 and 8358

Related Least Common Multiples of 8358

Related Least Common Multiples of 8363

Frequently Asked Questions on LCM of 8358 and 8363

1. What is the LCM of 8358 and 8363?

Answer: LCM of 8358 and 8363 is 69897954.

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 8363?

Answer: Factors of 8363 are 1, 8363. There are 2 integers that are factors of 8363. The greatest factor of 8363 is 8363.

4. How to Find the LCM of 8358 and 8363?

Answer:

Least Common Multiple of 8358 and 8363 = 69897954

Step 1: Find the prime factorization of 8358

8358 = 2 x 3 x 7 x 199

Step 2: Find the prime factorization of 8363

8363 = 8363

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

LCM = 69897954 = 2 x 3 x 7 x 199 x 8363

Step 4: Therefore, the least common multiple of 8358 and 8363 is 69897954.