Least Common Multiple of 8370 and 8373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8370 and 8373 the smallest integer that is 23360670 that is divisible by both numbers.

Least Common Multiple (LCM) of 8370 and 8373 is 23360670.

LCM(8370,8373) = 23360670

LCM of 8370 and 8373

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

LCM of:
and

Least Common Multiple of 8370 and 8373

LCM of 8370 and 8373 is 23360670

Least common multiple can be found by multiplying the highest exponent prime factors of 8370 and 8373. First we will calculate the prime factors of 8370 and 8373.

Prime Factorization of 8370


2 8370
3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 8370 are 2, 3, 5,31. Prime factorization of 8370 in exponential form is:

8370 = 21×33×51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8370 and 8373.

LCM(8370,8373) = 21×33×51×311×27911
LCM(8370,8373) = 23360670

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370

Factors of 8373

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

1, 3, 2791, 8373

Least Common Multiple of 8370 and 8373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8370 and 8373, than apply into the LCM equation.

GCF(8370,8373) = 3
LCM(8370,8373) = ( 8370 × 8373) / 3
LCM(8370,8373) = 70082010 / 3
LCM(8370,8373) = 23360670

Properties of LCM 8370 and 8373

(i) The LCM of 8373 and 8370 is associative

LCM of 8370 and 8373 = LCM of 8373 and 8370

Related Least Common Multiples of 8370

Related Least Common Multiples of 8373

Frequently Asked Questions on LCM of 8370 and 8373

1. What is the LCM of 8370 and 8373?

Answer: LCM of 8370 and 8373 is 23360670.

2. What are the Factors of 8370?

Answer: Factors of 8370 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370. There are 32 integers that are factors of 8370. The greatest factor of 8370 is 8370.

3. 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.

4. How to Find the LCM of 8370 and 8373?

Answer:

Least Common Multiple of 8370 and 8373 = 23360670

Step 1: Find the prime factorization of 8370

8370 = 2 x 3 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 8373

8373 = 3 x 2791

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

LCM = 23360670 = 2 x 3 x 3 x 3 x 5 x 31 x 2791

Step 4: Therefore, the least common multiple of 8370 and 8373 is 23360670.