Least Common Multiple of 8358 and 8366

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 8366 the smallest integer that is 34961514 that is divisible by both numbers.

Least Common Multiple (LCM) of 8358 and 8366 is 34961514.

LCM(8358,8366) = 34961514

LCM of 8358 and 8366

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

LCM of:
and

Least Common Multiple of 8358 and 8366

LCM of 8358 and 8366 is 34961514

Least common multiple can be found by multiplying the highest exponent prime factors of 8358 and 8366. First we will calculate the prime factors of 8358 and 8366.

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 8366


2 8366
47 4183
89 89
1

Prime factors of 8366 are 2, 47,89. Prime factorization of 8366 in exponential form is:

8366 = 21×471×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8358 and 8366.

LCM(8358,8366) = 21×31×71×471×891×1991
LCM(8358,8366) = 34961514

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 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1, 2, 47, 89, 94, 178, 4183, 8366

Least Common Multiple of 8358 and 8366 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 8366, than apply into the LCM equation.

GCF(8358,8366) = 2
LCM(8358,8366) = ( 8358 × 8366) / 2
LCM(8358,8366) = 69923028 / 2
LCM(8358,8366) = 34961514

Properties of LCM 8358 and 8366

(i) The LCM of 8366 and 8358 is associative

LCM of 8358 and 8366 = LCM of 8366 and 8358

Related Least Common Multiples of 8358

Related Least Common Multiples of 8366

Frequently Asked Questions on LCM of 8358 and 8366

1. What is the LCM of 8358 and 8366?

Answer: LCM of 8358 and 8366 is 34961514.

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 8366?

Answer: Factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366. There are 8 integers that are factors of 8366. The greatest factor of 8366 is 8366.

4. How to Find the LCM of 8358 and 8366?

Answer:

Least Common Multiple of 8358 and 8366 = 34961514

Step 1: Find the prime factorization of 8358

8358 = 2 x 3 x 7 x 199

Step 2: Find the prime factorization of 8366

8366 = 2 x 47 x 89

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

LCM = 34961514 = 2 x 3 x 7 x 47 x 89 x 199

Step 4: Therefore, the least common multiple of 8358 and 8366 is 34961514.