Least Common Multiple of 8366 and 8374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8366 and 8374 the smallest integer that is 35028442 that is divisible by both numbers.

Least Common Multiple (LCM) of 8366 and 8374 is 35028442.

LCM(8366,8374) = 35028442

LCM of 8366 and 8374

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

LCM of:
and

Least Common Multiple of 8366 and 8374

LCM of 8366 and 8374 is 35028442

Least common multiple can be found by multiplying the highest exponent prime factors of 8366 and 8374. First we will calculate the prime factors of 8366 and 8374.

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

Prime Factorization of 8374


2 8374
53 4187
79 79
1

Prime factors of 8374 are 2, 53,79. Prime factorization of 8374 in exponential form is:

8374 = 21×531×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8366 and 8374.

LCM(8366,8374) = 21×471×531×791×891
LCM(8366,8374) = 35028442

Factors of 8366

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

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

Factors of 8374

List of positive integer factors of 8374 that divides 8374 without a remainder.

1, 2, 53, 79, 106, 158, 4187, 8374

Least Common Multiple of 8366 and 8374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8366 and 8374, than apply into the LCM equation.

GCF(8366,8374) = 2
LCM(8366,8374) = ( 8366 × 8374) / 2
LCM(8366,8374) = 70056884 / 2
LCM(8366,8374) = 35028442

Properties of LCM 8366 and 8374

(i) The LCM of 8374 and 8366 is associative

LCM of 8366 and 8374 = LCM of 8374 and 8366

Related Least Common Multiples of 8366

Related Least Common Multiples of 8374

Frequently Asked Questions on LCM of 8366 and 8374

1. What is the LCM of 8366 and 8374?

Answer: LCM of 8366 and 8374 is 35028442.

2. 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.

3. What are the Factors of 8374?

Answer: Factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374. There are 8 integers that are factors of 8374. The greatest factor of 8374 is 8374.

4. How to Find the LCM of 8366 and 8374?

Answer:

Least Common Multiple of 8366 and 8374 = 35028442

Step 1: Find the prime factorization of 8366

8366 = 2 x 47 x 89

Step 2: Find the prime factorization of 8374

8374 = 2 x 53 x 79

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

LCM = 35028442 = 2 x 47 x 53 x 79 x 89

Step 4: Therefore, the least common multiple of 8366 and 8374 is 35028442.