Least Common Multiple of 8373 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 8373 and 8374 the smallest integer that is 70115502 that is divisible by both numbers.

Least Common Multiple (LCM) of 8373 and 8374 is 70115502.

LCM(8373,8374) = 70115502

LCM of 8373 and 8374

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

LCM of:
and

Least Common Multiple of 8373 and 8374

LCM of 8373 and 8374 is 70115502

Least common multiple can be found by multiplying the highest exponent prime factors of 8373 and 8374. First we will calculate the prime factors of 8373 and 8374.

Prime Factorization of 8373


3 8373
2791 2791
1

Prime factors of 8373 are 3,2791. Prime factorization of 8373 in exponential form is:

8373 = 31×27911

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 8373 and 8374.

LCM(8373,8374) = 21×31×531×791×27911
LCM(8373,8374) = 70115502

Factors of 8373

List of positive integer factors of 8373 that divides 8373 without a remainder.

1, 3, 2791, 8373

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 8373 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 8373 and 8374, than apply into the LCM equation.

GCF(8373,8374) = 1
LCM(8373,8374) = ( 8373 × 8374) / 1
LCM(8373,8374) = 70115502 / 1
LCM(8373,8374) = 70115502

Properties of LCM 8373 and 8374

(i) The LCM of 8374 and 8373 is associative

LCM of 8373 and 8374 = LCM of 8374 and 8373

Related Least Common Multiples of 8373

Related Least Common Multiples of 8374

Frequently Asked Questions on LCM of 8373 and 8374

1. What is the LCM of 8373 and 8374?

Answer: LCM of 8373 and 8374 is 70115502.

2. What are the Factors of 8373?

Answer: Factors of 8373 are 1, 3, 2791, 8373. There are 4 integers that are factors of 8373. The greatest factor of 8373 is 8373.

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 8373 and 8374?

Answer:

Least Common Multiple of 8373 and 8374 = 70115502

Step 1: Find the prime factorization of 8373

8373 = 3 x 2791

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 = 70115502 = 2 x 3 x 53 x 79 x 2791

Step 4: Therefore, the least common multiple of 8373 and 8374 is 70115502.