Least Common Multiple of 31301 and 31305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31301 and 31305 the smallest integer that is 979877805 that is divisible by both numbers.

Least Common Multiple (LCM) of 31301 and 31305 is 979877805.

LCM(31301,31305) = 979877805

LCM of 31301 and 31305

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

LCM of:
and

Least Common Multiple of 31301 and 31305

LCM of 31301 and 31305 is 979877805

Least common multiple can be found by multiplying the highest exponent prime factors of 31301 and 31305. First we will calculate the prime factors of 31301 and 31305.

Prime Factorization of 31301


113 31301
277 277
1

Prime factors of 31301 are 113,277. Prime factorization of 31301 in exponential form is:

31301 = 1131×2771

Prime Factorization of 31305


3 31305
5 10435
2087 2087
1

Prime factors of 31305 are 3, 5,2087. Prime factorization of 31305 in exponential form is:

31305 = 31×51×20871

Now multiplying the highest exponent prime factors to calculate the LCM of 31301 and 31305.

LCM(31301,31305) = 31×51×1131×2771×20871
LCM(31301,31305) = 979877805

Factors of 31301

List of positive integer factors of 31301 that divides 31301 without a remainder.

1, 113, 277, 31301

Factors of 31305

List of positive integer factors of 31305 that divides 31305 without a remainder.

1, 3, 5, 15, 2087, 6261, 10435, 31305

Least Common Multiple of 31301 and 31305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31301 and 31305, than apply into the LCM equation.

GCF(31301,31305) = 1
LCM(31301,31305) = ( 31301 × 31305) / 1
LCM(31301,31305) = 979877805 / 1
LCM(31301,31305) = 979877805

Properties of LCM 31301 and 31305

(i) The LCM of 31305 and 31301 is associative

LCM of 31301 and 31305 = LCM of 31305 and 31301

Related Least Common Multiples of 31301

Related Least Common Multiples of 31305

Frequently Asked Questions on LCM of 31301 and 31305

1. What is the LCM of 31301 and 31305?

Answer: LCM of 31301 and 31305 is 979877805.

2. What are the Factors of 31301?

Answer: Factors of 31301 are 1, 113, 277, 31301. There are 4 integers that are factors of 31301. The greatest factor of 31301 is 31301.

3. What are the Factors of 31305?

Answer: Factors of 31305 are 1, 3, 5, 15, 2087, 6261, 10435, 31305. There are 8 integers that are factors of 31305. The greatest factor of 31305 is 31305.

4. How to Find the LCM of 31301 and 31305?

Answer:

Least Common Multiple of 31301 and 31305 = 979877805

Step 1: Find the prime factorization of 31301

31301 = 113 x 277

Step 2: Find the prime factorization of 31305

31305 = 3 x 5 x 2087

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

LCM = 979877805 = 3 x 5 x 113 x 277 x 2087

Step 4: Therefore, the least common multiple of 31301 and 31305 is 979877805.