Least Common Multiple of 6356 and 6360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6356 and 6360 the smallest integer that is 10106040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6356 and 6360 is 10106040.

LCM(6356,6360) = 10106040

LCM of 6356 and 6360

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

LCM of:
and

Least Common Multiple of 6356 and 6360

LCM of 6356 and 6360 is 10106040

Least common multiple can be found by multiplying the highest exponent prime factors of 6356 and 6360. First we will calculate the prime factors of 6356 and 6360.

Prime Factorization of 6356


2 6356
2 3178
7 1589
227 227
1

Prime factors of 6356 are 2, 7,227. Prime factorization of 6356 in exponential form is:

6356 = 22×71×2271

Prime Factorization of 6360


2 6360
2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 6360 are 2, 3, 5,53. Prime factorization of 6360 in exponential form is:

6360 = 23×31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6356 and 6360.

LCM(6356,6360) = 23×31×51×71×531×2271
LCM(6356,6360) = 10106040

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360

Least Common Multiple of 6356 and 6360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6356 and 6360, than apply into the LCM equation.

GCF(6356,6360) = 4
LCM(6356,6360) = ( 6356 × 6360) / 4
LCM(6356,6360) = 40424160 / 4
LCM(6356,6360) = 10106040

Properties of LCM 6356 and 6360

(i) The LCM of 6360 and 6356 is associative

LCM of 6356 and 6360 = LCM of 6360 and 6356

Related Least Common Multiples of 6356

Related Least Common Multiples of 6360

Frequently Asked Questions on LCM of 6356 and 6360

1. What is the LCM of 6356 and 6360?

Answer: LCM of 6356 and 6360 is 10106040.

2. What are the Factors of 6356?

Answer: Factors of 6356 are 1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356. There are 12 integers that are factors of 6356. The greatest factor of 6356 is 6356.

3. What are the Factors of 6360?

Answer: Factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360. There are 32 integers that are factors of 6360. The greatest factor of 6360 is 6360.

4. How to Find the LCM of 6356 and 6360?

Answer:

Least Common Multiple of 6356 and 6360 = 10106040

Step 1: Find the prime factorization of 6356

6356 = 2 x 2 x 7 x 227

Step 2: Find the prime factorization of 6360

6360 = 2 x 2 x 2 x 3 x 5 x 53

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

LCM = 10106040 = 2 x 2 x 2 x 3 x 5 x 7 x 53 x 227

Step 4: Therefore, the least common multiple of 6356 and 6360 is 10106040.