Least Common Multiple of 6305 and 6312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6305 and 6312 the smallest integer that is 39797160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6305 and 6312 is 39797160.

LCM(6305,6312) = 39797160

LCM of 6305 and 6312

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

LCM of:
and

Least Common Multiple of 6305 and 6312

LCM of 6305 and 6312 is 39797160

Least common multiple can be found by multiplying the highest exponent prime factors of 6305 and 6312. First we will calculate the prime factors of 6305 and 6312.

Prime Factorization of 6305


5 6305
13 1261
97 97
1

Prime factors of 6305 are 5, 13,97. Prime factorization of 6305 in exponential form is:

6305 = 51×131×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6305 and 6312.

LCM(6305,6312) = 23×31×51×131×971×2631
LCM(6305,6312) = 39797160

Factors of 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1, 5, 13, 65, 97, 485, 1261, 6305

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

Least Common Multiple of 6305 and 6312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6305 and 6312, than apply into the LCM equation.

GCF(6305,6312) = 1
LCM(6305,6312) = ( 6305 × 6312) / 1
LCM(6305,6312) = 39797160 / 1
LCM(6305,6312) = 39797160

Properties of LCM 6305 and 6312

(i) The LCM of 6312 and 6305 is associative

LCM of 6305 and 6312 = LCM of 6312 and 6305

Related Least Common Multiples of 6305

Related Least Common Multiples of 6312

Frequently Asked Questions on LCM of 6305 and 6312

1. What is the LCM of 6305 and 6312?

Answer: LCM of 6305 and 6312 is 39797160.

2. What are the Factors of 6305?

Answer: Factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305. There are 8 integers that are factors of 6305. The greatest factor of 6305 is 6305.

3. 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.

4. How to Find the LCM of 6305 and 6312?

Answer:

Least Common Multiple of 6305 and 6312 = 39797160

Step 1: Find the prime factorization of 6305

6305 = 5 x 13 x 97

Step 2: Find the prime factorization of 6312

6312 = 2 x 2 x 2 x 3 x 263

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

LCM = 39797160 = 2 x 2 x 2 x 3 x 5 x 13 x 97 x 263

Step 4: Therefore, the least common multiple of 6305 and 6312 is 39797160.