Least Common Multiple of 10330 and 10334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10330 and 10334 the smallest integer that is 53375110 that is divisible by both numbers.

Least Common Multiple (LCM) of 10330 and 10334 is 53375110.

LCM(10330,10334) = 53375110

LCM of 10330 and 10334

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

LCM of:
and

Least Common Multiple of 10330 and 10334

LCM of 10330 and 10334 is 53375110

Least common multiple can be found by multiplying the highest exponent prime factors of 10330 and 10334. First we will calculate the prime factors of 10330 and 10334.

Prime Factorization of 10330


2 10330
5 5165
1033 1033
1

Prime factors of 10330 are 2, 5,1033. Prime factorization of 10330 in exponential form is:

10330 = 21×51×10331

Prime Factorization of 10334


2 10334
5167 5167
1

Prime factors of 10334 are 2,5167. Prime factorization of 10334 in exponential form is:

10334 = 21×51671

Now multiplying the highest exponent prime factors to calculate the LCM of 10330 and 10334.

LCM(10330,10334) = 21×51×10331×51671
LCM(10330,10334) = 53375110

Factors of 10330

List of positive integer factors of 10330 that divides 10330 without a remainder.

1, 2, 5, 10, 1033, 2066, 5165, 10330

Factors of 10334

List of positive integer factors of 10334 that divides 10334 without a remainder.

1, 2, 5167, 10334

Least Common Multiple of 10330 and 10334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10330 and 10334, than apply into the LCM equation.

GCF(10330,10334) = 2
LCM(10330,10334) = ( 10330 × 10334) / 2
LCM(10330,10334) = 106750220 / 2
LCM(10330,10334) = 53375110

Properties of LCM 10330 and 10334

(i) The LCM of 10334 and 10330 is associative

LCM of 10330 and 10334 = LCM of 10334 and 10330

Related Least Common Multiples of 10330

Related Least Common Multiples of 10334

Frequently Asked Questions on LCM of 10330 and 10334

1. What is the LCM of 10330 and 10334?

Answer: LCM of 10330 and 10334 is 53375110.

2. What are the Factors of 10330?

Answer: Factors of 10330 are 1, 2, 5, 10, 1033, 2066, 5165, 10330. There are 8 integers that are factors of 10330. The greatest factor of 10330 is 10330.

3. What are the Factors of 10334?

Answer: Factors of 10334 are 1, 2, 5167, 10334. There are 4 integers that are factors of 10334. The greatest factor of 10334 is 10334.

4. How to Find the LCM of 10330 and 10334?

Answer:

Least Common Multiple of 10330 and 10334 = 53375110

Step 1: Find the prime factorization of 10330

10330 = 2 x 5 x 1033

Step 2: Find the prime factorization of 10334

10334 = 2 x 5167

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

LCM = 53375110 = 2 x 5 x 1033 x 5167

Step 4: Therefore, the least common multiple of 10330 and 10334 is 53375110.