Least Common Multiple of 1306 and 1313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1306 and 1313 the smallest integer that is 1714778 that is divisible by both numbers.

Least Common Multiple (LCM) of 1306 and 1313 is 1714778.

LCM(1306,1313) = 1714778

LCM of 1306 and 1313

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

LCM of:
and

Least Common Multiple of 1306 and 1313

LCM of 1306 and 1313 is 1714778

Least common multiple can be found by multiplying the highest exponent prime factors of 1306 and 1313. First we will calculate the prime factors of 1306 and 1313.

Prime Factorization of 1306


2 1306
653 653
1

Prime factors of 1306 are 2,653. Prime factorization of 1306 in exponential form is:

1306 = 21×6531

Prime Factorization of 1313


13 1313
101 101
1

Prime factors of 1313 are 13,101. Prime factorization of 1313 in exponential form is:

1313 = 131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1306 and 1313.

LCM(1306,1313) = 21×131×1011×6531
LCM(1306,1313) = 1714778

Factors of 1306

List of positive integer factors of 1306 that divides 1306 without a remainder.

1, 2, 653, 1306

Factors of 1313

List of positive integer factors of 1313 that divides 1313 without a remainder.

1, 13, 101, 1313

Least Common Multiple of 1306 and 1313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1306 and 1313, than apply into the LCM equation.

GCF(1306,1313) = 1
LCM(1306,1313) = ( 1306 × 1313) / 1
LCM(1306,1313) = 1714778 / 1
LCM(1306,1313) = 1714778

Properties of LCM 1306 and 1313

(i) The LCM of 1313 and 1306 is associative

LCM of 1306 and 1313 = LCM of 1313 and 1306

Related Least Common Multiples of 1306

Related Least Common Multiples of 1313

Frequently Asked Questions on LCM of 1306 and 1313

1. What is the LCM of 1306 and 1313?

Answer: LCM of 1306 and 1313 is 1714778.

2. What are the Factors of 1306?

Answer: Factors of 1306 are 1, 2, 653, 1306. There are 4 integers that are factors of 1306. The greatest factor of 1306 is 1306.

3. What are the Factors of 1313?

Answer: Factors of 1313 are 1, 13, 101, 1313. There are 4 integers that are factors of 1313. The greatest factor of 1313 is 1313.

4. How to Find the LCM of 1306 and 1313?

Answer:

Least Common Multiple of 1306 and 1313 = 1714778

Step 1: Find the prime factorization of 1306

1306 = 2 x 653

Step 2: Find the prime factorization of 1313

1313 = 13 x 101

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

LCM = 1714778 = 2 x 13 x 101 x 653

Step 4: Therefore, the least common multiple of 1306 and 1313 is 1714778.