Least Common Multiple of 1313 and 1320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1313 and 1320 the smallest integer that is 1733160 that is divisible by both numbers.

Least Common Multiple (LCM) of 1313 and 1320 is 1733160.

LCM(1313,1320) = 1733160

LCM of 1313 and 1320

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

LCM of:
and

Least Common Multiple of 1313 and 1320

LCM of 1313 and 1320 is 1733160

Least common multiple can be found by multiplying the highest exponent prime factors of 1313 and 1320. First we will calculate the prime factors of 1313 and 1320.

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

Prime Factorization of 1320


2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 1320 are 2, 3, 5,11. Prime factorization of 1320 in exponential form is:

1320 = 23×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1313 and 1320.

LCM(1313,1320) = 23×31×51×111×131×1011
LCM(1313,1320) = 1733160

Factors of 1313

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

1, 13, 101, 1313

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320

Least Common Multiple of 1313 and 1320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1313 and 1320, than apply into the LCM equation.

GCF(1313,1320) = 1
LCM(1313,1320) = ( 1313 × 1320) / 1
LCM(1313,1320) = 1733160 / 1
LCM(1313,1320) = 1733160

Properties of LCM 1313 and 1320

(i) The LCM of 1320 and 1313 is associative

LCM of 1313 and 1320 = LCM of 1320 and 1313

Related Least Common Multiples of 1313

Related Least Common Multiples of 1320

Frequently Asked Questions on LCM of 1313 and 1320

1. What is the LCM of 1313 and 1320?

Answer: LCM of 1313 and 1320 is 1733160.

2. 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.

3. What are the Factors of 1320?

Answer: Factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320. There are 32 integers that are factors of 1320. The greatest factor of 1320 is 1320.

4. How to Find the LCM of 1313 and 1320?

Answer:

Least Common Multiple of 1313 and 1320 = 1733160

Step 1: Find the prime factorization of 1313

1313 = 13 x 101

Step 2: Find the prime factorization of 1320

1320 = 2 x 2 x 2 x 3 x 5 x 11

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

LCM = 1733160 = 2 x 2 x 2 x 3 x 5 x 11 x 13 x 101

Step 4: Therefore, the least common multiple of 1313 and 1320 is 1733160.