Least Common Multiple of 8373 and 8380

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 8380 the smallest integer that is 70165740 that is divisible by both numbers.

Least Common Multiple (LCM) of 8373 and 8380 is 70165740.

LCM(8373,8380) = 70165740

LCM of 8373 and 8380

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

LCM of:
and

Least Common Multiple of 8373 and 8380

LCM of 8373 and 8380 is 70165740

Least common multiple can be found by multiplying the highest exponent prime factors of 8373 and 8380. First we will calculate the prime factors of 8373 and 8380.

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 8380


2 8380
2 4190
5 2095
419 419
1

Prime factors of 8380 are 2, 5,419. Prime factorization of 8380 in exponential form is:

8380 = 22×51×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 8373 and 8380.

LCM(8373,8380) = 22×31×51×4191×27911
LCM(8373,8380) = 70165740

Factors of 8373

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

1, 3, 2791, 8373

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380

Least Common Multiple of 8373 and 8380 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 8380, than apply into the LCM equation.

GCF(8373,8380) = 1
LCM(8373,8380) = ( 8373 × 8380) / 1
LCM(8373,8380) = 70165740 / 1
LCM(8373,8380) = 70165740

Properties of LCM 8373 and 8380

(i) The LCM of 8380 and 8373 is associative

LCM of 8373 and 8380 = LCM of 8380 and 8373

Related Least Common Multiples of 8373

Related Least Common Multiples of 8380

Frequently Asked Questions on LCM of 8373 and 8380

1. What is the LCM of 8373 and 8380?

Answer: LCM of 8373 and 8380 is 70165740.

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 8380?

Answer: Factors of 8380 are 1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380. There are 12 integers that are factors of 8380. The greatest factor of 8380 is 8380.

4. How to Find the LCM of 8373 and 8380?

Answer:

Least Common Multiple of 8373 and 8380 = 70165740

Step 1: Find the prime factorization of 8373

8373 = 3 x 2791

Step 2: Find the prime factorization of 8380

8380 = 2 x 2 x 5 x 419

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

LCM = 70165740 = 2 x 2 x 3 x 5 x 419 x 2791

Step 4: Therefore, the least common multiple of 8373 and 8380 is 70165740.