Least Common Multiple of 10341 and 10347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10341 and 10347 the smallest integer that is 35666109 that is divisible by both numbers.

Least Common Multiple (LCM) of 10341 and 10347 is 35666109.

LCM(10341,10347) = 35666109

LCM of 10341 and 10347

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

LCM of:
and

Least Common Multiple of 10341 and 10347

LCM of 10341 and 10347 is 35666109

Least common multiple can be found by multiplying the highest exponent prime factors of 10341 and 10347. First we will calculate the prime factors of 10341 and 10347.

Prime Factorization of 10341


3 10341
3 3447
3 1149
383 383
1

Prime factors of 10341 are 3,383. Prime factorization of 10341 in exponential form is:

10341 = 33×3831

Prime Factorization of 10347


3 10347
3449 3449
1

Prime factors of 10347 are 3,3449. Prime factorization of 10347 in exponential form is:

10347 = 31×34491

Now multiplying the highest exponent prime factors to calculate the LCM of 10341 and 10347.

LCM(10341,10347) = 33×3831×34491
LCM(10341,10347) = 35666109

Factors of 10341

List of positive integer factors of 10341 that divides 10341 without a remainder.

1, 3, 9, 27, 383, 1149, 3447, 10341

Factors of 10347

List of positive integer factors of 10347 that divides 10347 without a remainder.

1, 3, 3449, 10347

Least Common Multiple of 10341 and 10347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10341 and 10347, than apply into the LCM equation.

GCF(10341,10347) = 3
LCM(10341,10347) = ( 10341 × 10347) / 3
LCM(10341,10347) = 106998327 / 3
LCM(10341,10347) = 35666109

Properties of LCM 10341 and 10347

(i) The LCM of 10347 and 10341 is associative

LCM of 10341 and 10347 = LCM of 10347 and 10341

Related Least Common Multiples of 10341

Related Least Common Multiples of 10347

Frequently Asked Questions on LCM of 10341 and 10347

1. What is the LCM of 10341 and 10347?

Answer: LCM of 10341 and 10347 is 35666109.

2. What are the Factors of 10341?

Answer: Factors of 10341 are 1, 3, 9, 27, 383, 1149, 3447, 10341. There are 8 integers that are factors of 10341. The greatest factor of 10341 is 10341.

3. What are the Factors of 10347?

Answer: Factors of 10347 are 1, 3, 3449, 10347. There are 4 integers that are factors of 10347. The greatest factor of 10347 is 10347.

4. How to Find the LCM of 10341 and 10347?

Answer:

Least Common Multiple of 10341 and 10347 = 35666109

Step 1: Find the prime factorization of 10341

10341 = 3 x 3 x 3 x 383

Step 2: Find the prime factorization of 10347

10347 = 3 x 3449

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

LCM = 35666109 = 3 x 3 x 3 x 383 x 3449

Step 4: Therefore, the least common multiple of 10341 and 10347 is 35666109.