Least Common Multiple of 6347 and 6352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6347 and 6352 the smallest integer that is 40316144 that is divisible by both numbers.

Least Common Multiple (LCM) of 6347 and 6352 is 40316144.

LCM(6347,6352) = 40316144

LCM of 6347 and 6352

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

LCM of:
and

Least Common Multiple of 6347 and 6352

LCM of 6347 and 6352 is 40316144

Least common multiple can be found by multiplying the highest exponent prime factors of 6347 and 6352. First we will calculate the prime factors of 6347 and 6352.

Prime Factorization of 6347


11 6347
577 577
1

Prime factors of 6347 are 11,577. Prime factorization of 6347 in exponential form is:

6347 = 111×5771

Prime Factorization of 6352


2 6352
2 3176
2 1588
2 794
397 397
1

Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:

6352 = 24×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 6347 and 6352.

LCM(6347,6352) = 24×111×3971×5771
LCM(6347,6352) = 40316144

Factors of 6347

List of positive integer factors of 6347 that divides 6347 without a remainder.

1, 11, 577, 6347

Factors of 6352

List of positive integer factors of 6352 that divides 6352 without a remainder.

1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352

Least Common Multiple of 6347 and 6352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6347 and 6352, than apply into the LCM equation.

GCF(6347,6352) = 1
LCM(6347,6352) = ( 6347 × 6352) / 1
LCM(6347,6352) = 40316144 / 1
LCM(6347,6352) = 40316144

Properties of LCM 6347 and 6352

(i) The LCM of 6352 and 6347 is associative

LCM of 6347 and 6352 = LCM of 6352 and 6347

Related Least Common Multiples of 6347

Related Least Common Multiples of 6352

Frequently Asked Questions on LCM of 6347 and 6352

1. What is the LCM of 6347 and 6352?

Answer: LCM of 6347 and 6352 is 40316144.

2. What are the Factors of 6347?

Answer: Factors of 6347 are 1, 11, 577, 6347. There are 4 integers that are factors of 6347. The greatest factor of 6347 is 6347.

3. What are the Factors of 6352?

Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.

4. How to Find the LCM of 6347 and 6352?

Answer:

Least Common Multiple of 6347 and 6352 = 40316144

Step 1: Find the prime factorization of 6347

6347 = 11 x 577

Step 2: Find the prime factorization of 6352

6352 = 2 x 2 x 2 x 2 x 397

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

LCM = 40316144 = 2 x 2 x 2 x 2 x 11 x 397 x 577

Step 4: Therefore, the least common multiple of 6347 and 6352 is 40316144.