Least Common Multiple of 8369 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 8369 and 8374 the smallest integer that is 70082006 that is divisible by both numbers.

Least Common Multiple (LCM) of 8369 and 8374 is 70082006.

LCM(8369,8374) = 70082006

LCM of 8369 and 8374

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

LCM of:
and

Least Common Multiple of 8369 and 8374

LCM of 8369 and 8374 is 70082006

Least common multiple can be found by multiplying the highest exponent prime factors of 8369 and 8374. First we will calculate the prime factors of 8369 and 8374.

Prime Factorization of 8369


8369 8369
1

Prime factors of 8369 are 8369. Prime factorization of 8369 in exponential form is:

8369 = 83691

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 8369 and 8374.

LCM(8369,8374) = 21×531×791×83691
LCM(8369,8374) = 70082006

Factors of 8369

List of positive integer factors of 8369 that divides 8369 without a remainder.

1, 8369

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 8369 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 8369 and 8374, than apply into the LCM equation.

GCF(8369,8374) = 1
LCM(8369,8374) = ( 8369 × 8374) / 1
LCM(8369,8374) = 70082006 / 1
LCM(8369,8374) = 70082006

Properties of LCM 8369 and 8374

(i) The LCM of 8374 and 8369 is associative

LCM of 8369 and 8374 = LCM of 8374 and 8369

Related Least Common Multiples of 8369

Related Least Common Multiples of 8374

Frequently Asked Questions on LCM of 8369 and 8374

1. What is the LCM of 8369 and 8374?

Answer: LCM of 8369 and 8374 is 70082006.

2. What are the Factors of 8369?

Answer: Factors of 8369 are 1, 8369. There are 2 integers that are factors of 8369. The greatest factor of 8369 is 8369.

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 8369 and 8374?

Answer:

Least Common Multiple of 8369 and 8374 = 70082006

Step 1: Find the prime factorization of 8369

8369 = 8369

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 = 70082006 = 2 x 53 x 79 x 8369

Step 4: Therefore, the least common multiple of 8369 and 8374 is 70082006.