Least Common Multiple of 8334 and 8342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8334 and 8342 the smallest integer that is 34761114 that is divisible by both numbers.

Least Common Multiple (LCM) of 8334 and 8342 is 34761114.

LCM(8334,8342) = 34761114

LCM of 8334 and 8342

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

LCM of:
and

Least Common Multiple of 8334 and 8342

LCM of 8334 and 8342 is 34761114

Least common multiple can be found by multiplying the highest exponent prime factors of 8334 and 8342. First we will calculate the prime factors of 8334 and 8342.

Prime Factorization of 8334


2 8334
3 4167
3 1389
463 463
1

Prime factors of 8334 are 2, 3,463. Prime factorization of 8334 in exponential form is:

8334 = 21×32×4631

Prime Factorization of 8342


2 8342
43 4171
97 97
1

Prime factors of 8342 are 2, 43,97. Prime factorization of 8342 in exponential form is:

8342 = 21×431×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8334 and 8342.

LCM(8334,8342) = 21×32×431×971×4631
LCM(8334,8342) = 34761114

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1, 2, 43, 86, 97, 194, 4171, 8342

Least Common Multiple of 8334 and 8342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8334 and 8342, than apply into the LCM equation.

GCF(8334,8342) = 2
LCM(8334,8342) = ( 8334 × 8342) / 2
LCM(8334,8342) = 69522228 / 2
LCM(8334,8342) = 34761114

Properties of LCM 8334 and 8342

(i) The LCM of 8342 and 8334 is associative

LCM of 8334 and 8342 = LCM of 8342 and 8334

Related Least Common Multiples of 8334

Related Least Common Multiples of 8342

Frequently Asked Questions on LCM of 8334 and 8342

1. What is the LCM of 8334 and 8342?

Answer: LCM of 8334 and 8342 is 34761114.

2. What are the Factors of 8334?

Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.

3. What are the Factors of 8342?

Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.

4. How to Find the LCM of 8334 and 8342?

Answer:

Least Common Multiple of 8334 and 8342 = 34761114

Step 1: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

Step 2: Find the prime factorization of 8342

8342 = 2 x 43 x 97

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

LCM = 34761114 = 2 x 3 x 3 x 43 x 97 x 463

Step 4: Therefore, the least common multiple of 8334 and 8342 is 34761114.