Least Common Multiple of 6354 and 6359

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 6359 the smallest integer that is 40405086 that is divisible by both numbers.

Least Common Multiple (LCM) of 6354 and 6359 is 40405086.

LCM(6354,6359) = 40405086

LCM of 6354 and 6359

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

LCM of:
and

Least Common Multiple of 6354 and 6359

LCM of 6354 and 6359 is 40405086

Least common multiple can be found by multiplying the highest exponent prime factors of 6354 and 6359. First we will calculate the prime factors of 6354 and 6359.

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 6359


6359 6359
1

Prime factors of 6359 are 6359. Prime factorization of 6359 in exponential form is:

6359 = 63591

Now multiplying the highest exponent prime factors to calculate the LCM of 6354 and 6359.

LCM(6354,6359) = 21×32×3531×63591
LCM(6354,6359) = 40405086

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 6359

List of positive integer factors of 6359 that divides 6359 without a remainder.

1, 6359

Least Common Multiple of 6354 and 6359 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 6359, than apply into the LCM equation.

GCF(6354,6359) = 1
LCM(6354,6359) = ( 6354 × 6359) / 1
LCM(6354,6359) = 40405086 / 1
LCM(6354,6359) = 40405086

Properties of LCM 6354 and 6359

(i) The LCM of 6359 and 6354 is associative

LCM of 6354 and 6359 = LCM of 6359 and 6354

Related Least Common Multiples of 6354

Related Least Common Multiples of 6359

Frequently Asked Questions on LCM of 6354 and 6359

1. What is the LCM of 6354 and 6359?

Answer: LCM of 6354 and 6359 is 40405086.

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 6359?

Answer: Factors of 6359 are 1, 6359. There are 2 integers that are factors of 6359. The greatest factor of 6359 is 6359.

4. How to Find the LCM of 6354 and 6359?

Answer:

Least Common Multiple of 6354 and 6359 = 40405086

Step 1: Find the prime factorization of 6354

6354 = 2 x 3 x 3 x 353

Step 2: Find the prime factorization of 6359

6359 = 6359

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

LCM = 40405086 = 2 x 3 x 3 x 353 x 6359

Step 4: Therefore, the least common multiple of 6354 and 6359 is 40405086.