Least Common Multiple of 6354 and 6361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6354 and 6361 the smallest integer that is 40417794 that is divisible by both numbers.

Least Common Multiple (LCM) of 6354 and 6361 is 40417794.

LCM(6354,6361) = 40417794

LCM of 6354 and 6361

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

LCM of:
and

Least Common Multiple of 6354 and 6361

LCM of 6354 and 6361 is 40417794

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6361. First we will calculate the prime factors of 6354 and 6361.

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

Prime Factorization of 6361


6361 6361
1

Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:

6361 = 63611

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6361.

LCM(6354,6361) = 21×32×3531×63611
LCM(6354,6361) = 40417794

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

Factors of 6361

List of positive integer factors of 6361 that divides 6361 without a remainder.

1, 6361

Least Common Multiple of 6354 and 6361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6354 and 6361, than apply into the LCM equation.

GCF(6354,6361) = 1
LCM(6354,6361) = ( 6354 × 6361) / 1
LCM(6354,6361) = 40417794 / 1
LCM(6354,6361) = 40417794

Properties of LCM 6354 and 6361

(i) The LCM of 6361 and 6354 is associative

LCM of 6354 and 6361 = LCM of 6361 and 6354

Related Least Common Multiples of 6354

Related Least Common Multiples of 6361

Frequently Asked Questions on LCM of 6354 and 6361

1. What is the LCM of 6354 and 6361?

Answer: LCM of 6354 and 6361 is 40417794.

2. 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.

3. What are the Factors of 6361?

Answer: Factors of 6361 are 1, 6361. There are 2 integers that are factors of 6361. The greatest factor of 6361 is 6361.

4. How to Find the LCM of 6354 and 6361?

Answer:

Least Common Multiple of 6354 and 6361 = 40417794

Step 1: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

Step 2: Find the prime factorization of 6361

6361 = 6361

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

LCM = 40417794 = 2 x 3 x 3 x 353 x 6361

Step 4: Therefore, the least common multiple of 6354 and 6361 is 40417794.