Least Common Multiple of 8362 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 8362 and 8366 the smallest integer that is 34978246 that is divisible by both numbers.

Least Common Multiple (LCM) of 8362 and 8366 is 34978246.

LCM(8362,8366) = 34978246

LCM of 8362 and 8366

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

LCM of:
and

Least Common Multiple of 8362 and 8366

LCM of 8362 and 8366 is 34978246

Least common multiple can be found by multiplying the highest exponent prime factors of 8362 and 8366. First we will calculate the prime factors of 8362 and 8366.

Prime Factorization of 8362


2 8362
37 4181
113 113
1

Prime factors of 8362 are 2, 37,113. Prime factorization of 8362 in exponential form is:

8362 = 21×371×1131

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 8362 and 8366.

LCM(8362,8366) = 21×371×471×891×1131
LCM(8362,8366) = 34978246

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1, 2, 37, 74, 113, 226, 4181, 8362

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 8362 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 8362 and 8366, than apply into the LCM equation.

GCF(8362,8366) = 2
LCM(8362,8366) = ( 8362 × 8366) / 2
LCM(8362,8366) = 69956492 / 2
LCM(8362,8366) = 34978246

Properties of LCM 8362 and 8366

(i) The LCM of 8366 and 8362 is associative

LCM of 8362 and 8366 = LCM of 8366 and 8362

Related Least Common Multiples of 8362

Related Least Common Multiples of 8366

Frequently Asked Questions on LCM of 8362 and 8366

1. What is the LCM of 8362 and 8366?

Answer: LCM of 8362 and 8366 is 34978246.

2. What are the Factors of 8362?

Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.

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 8362 and 8366?

Answer:

Least Common Multiple of 8362 and 8366 = 34978246

Step 1: Find the prime factorization of 8362

8362 = 2 x 37 x 113

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 = 34978246 = 2 x 37 x 47 x 89 x 113

Step 4: Therefore, the least common multiple of 8362 and 8366 is 34978246.