Least Common Multiple of 10306 and 10313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10306 and 10313 the smallest integer that is 106285778 that is divisible by both numbers.

Least Common Multiple (LCM) of 10306 and 10313 is 106285778.

LCM(10306,10313) = 106285778

LCM of 10306 and 10313

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

LCM of:
and

Least Common Multiple of 10306 and 10313

LCM of 10306 and 10313 is 106285778

Least common multiple can be found by multiplying the highest exponent prime factors of 10306 and 10313. First we will calculate the prime factors of 10306 and 10313.

Prime Factorization of 10306


2 10306
5153 5153
1

Prime factors of 10306 are 2,5153. Prime factorization of 10306 in exponential form is:

10306 = 21×51531

Prime Factorization of 10313


10313 10313
1

Prime factors of 10313 are 10313. Prime factorization of 10313 in exponential form is:

10313 = 103131

Now multiplying the highest exponent prime factors to calculate the LCM of 10306 and 10313.

LCM(10306,10313) = 21×51531×103131
LCM(10306,10313) = 106285778

Factors of 10306

List of positive integer factors of 10306 that divides 10306 without a remainder.

1, 2, 5153, 10306

Factors of 10313

List of positive integer factors of 10313 that divides 10313 without a remainder.

1, 10313

Least Common Multiple of 10306 and 10313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10306 and 10313, than apply into the LCM equation.

GCF(10306,10313) = 1
LCM(10306,10313) = ( 10306 × 10313) / 1
LCM(10306,10313) = 106285778 / 1
LCM(10306,10313) = 106285778

Properties of LCM 10306 and 10313

(i) The LCM of 10313 and 10306 is associative

LCM of 10306 and 10313 = LCM of 10313 and 10306

Related Least Common Multiples of 10306

Related Least Common Multiples of 10313

Frequently Asked Questions on LCM of 10306 and 10313

1. What is the LCM of 10306 and 10313?

Answer: LCM of 10306 and 10313 is 106285778.

2. What are the Factors of 10306?

Answer: Factors of 10306 are 1, 2, 5153, 10306. There are 4 integers that are factors of 10306. The greatest factor of 10306 is 10306.

3. What are the Factors of 10313?

Answer: Factors of 10313 are 1, 10313. There are 2 integers that are factors of 10313. The greatest factor of 10313 is 10313.

4. How to Find the LCM of 10306 and 10313?

Answer:

Least Common Multiple of 10306 and 10313 = 106285778

Step 1: Find the prime factorization of 10306

10306 = 2 x 5153

Step 2: Find the prime factorization of 10313

10313 = 10313

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

LCM = 106285778 = 2 x 5153 x 10313

Step 4: Therefore, the least common multiple of 10306 and 10313 is 106285778.