Least Common Multiple of 6349 and 6354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6349 and 6354 the smallest integer that is 40341546 that is divisible by both numbers.

Least Common Multiple (LCM) of 6349 and 6354 is 40341546.

LCM(6349,6354) = 40341546

LCM of 6349 and 6354

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

LCM of:
and

Least Common Multiple of 6349 and 6354

LCM of 6349 and 6354 is 40341546

Least common multiple can be found by multiplying the highest exponent prime factors of 6349 and 6354. First we will calculate the prime factors of 6349 and 6354.

Prime Factorization of 6349


7 6349
907 907
1

Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:

6349 = 71×9071

Prime Factorization of 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2, 3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 6349 and 6354.

LCM(6349,6354) = 21×32×71×3531×9071
LCM(6349,6354) = 40341546

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1, 7, 907, 6349

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354

Least Common Multiple of 6349 and 6354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6349 and 6354, than apply into the LCM equation.

GCF(6349,6354) = 1
LCM(6349,6354) = ( 6349 × 6354) / 1
LCM(6349,6354) = 40341546 / 1
LCM(6349,6354) = 40341546

Properties of LCM 6349 and 6354

(i) The LCM of 6354 and 6349 is associative

LCM of 6349 and 6354 = LCM of 6354 and 6349

Related Least Common Multiples of 6349

Related Least Common Multiples of 6354

Frequently Asked Questions on LCM of 6349 and 6354

1. What is the LCM of 6349 and 6354?

Answer: LCM of 6349 and 6354 is 40341546.

2. What are the Factors of 6349?

Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.

3. What are the Factors of 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

4. How to Find the LCM of 6349 and 6354?

Answer:

Least Common Multiple of 6349 and 6354 = 40341546

Step 1: Find the prime factorization of 6349

6349 = 7 x 907

Step 2: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

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

LCM = 40341546 = 2 x 3 x 3 x 7 x 353 x 907

Step 4: Therefore, the least common multiple of 6349 and 6354 is 40341546.