Least Common Multiple of 6312 and 6320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6312 and 6320 the smallest integer that is 4986480 that is divisible by both numbers.

Least Common Multiple (LCM) of 6312 and 6320 is 4986480.

LCM(6312,6320) = 4986480

LCM of 6312 and 6320

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

LCM of:
and

Least Common Multiple of 6312 and 6320

LCM of 6312 and 6320 is 4986480

Least common multiple can be found by multiplying the highest exponent prime factors of 6312 and 6320. First we will calculate the prime factors of 6312 and 6320.

Prime Factorization of 6312


2 6312
2 3156
2 1578
3 789
263 263
1

Prime factors of 6312 are 2, 3,263. Prime factorization of 6312 in exponential form is:

6312 = 23×31×2631

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2, 5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6312 and 6320.

LCM(6312,6320) = 24×31×51×791×2631
LCM(6312,6320) = 4986480

Factors of 6312

List of positive integer factors of 6312 that divides 6312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320

Least Common Multiple of 6312 and 6320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6312 and 6320, than apply into the LCM equation.

GCF(6312,6320) = 8
LCM(6312,6320) = ( 6312 × 6320) / 8
LCM(6312,6320) = 39891840 / 8
LCM(6312,6320) = 4986480

Properties of LCM 6312 and 6320

(i) The LCM of 6320 and 6312 is associative

LCM of 6312 and 6320 = LCM of 6320 and 6312

Related Least Common Multiples of 6312

Related Least Common Multiples of 6320

Frequently Asked Questions on LCM of 6312 and 6320

1. What is the LCM of 6312 and 6320?

Answer: LCM of 6312 and 6320 is 4986480.

2. What are the Factors of 6312?

Answer: Factors of 6312 are 1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312. There are 16 integers that are factors of 6312. The greatest factor of 6312 is 6312.

3. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

4. How to Find the LCM of 6312 and 6320?

Answer:

Least Common Multiple of 6312 and 6320 = 4986480

Step 1: Find the prime factorization of 6312

6312 = 2 x 2 x 2 x 3 x 263

Step 2: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

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

LCM = 4986480 = 2 x 2 x 2 x 2 x 3 x 5 x 79 x 263

Step 4: Therefore, the least common multiple of 6312 and 6320 is 4986480.