Least Common Multiple of 1302 and 1310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1302 and 1310 the smallest integer that is 852810 that is divisible by both numbers.

Least Common Multiple (LCM) of 1302 and 1310 is 852810.

LCM(1302,1310) = 852810

LCM of 1302 and 1310

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

LCM of:
and

Least Common Multiple of 1302 and 1310

LCM of 1302 and 1310 is 852810

Least common multiple can be found by multiplying the highest exponent prime factors of 1302 and 1310. First we will calculate the prime factors of 1302 and 1310.

Prime Factorization of 1302


2 1302
3 651
7 217
31 31
1

Prime factors of 1302 are 2, 3, 7,31. Prime factorization of 1302 in exponential form is:

1302 = 21×31×71×311

Prime Factorization of 1310


2 1310
5 655
131 131
1

Prime factors of 1310 are 2, 5,131. Prime factorization of 1310 in exponential form is:

1310 = 21×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1302 and 1310.

LCM(1302,1310) = 21×31×51×71×311×1311
LCM(1302,1310) = 852810

Factors of 1302

List of positive integer factors of 1302 that divides 1302 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302

Factors of 1310

List of positive integer factors of 1310 that divides 1310 without a remainder.

1, 2, 5, 10, 131, 262, 655, 1310

Least Common Multiple of 1302 and 1310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1302 and 1310, than apply into the LCM equation.

GCF(1302,1310) = 2
LCM(1302,1310) = ( 1302 × 1310) / 2
LCM(1302,1310) = 1705620 / 2
LCM(1302,1310) = 852810

Properties of LCM 1302 and 1310

(i) The LCM of 1310 and 1302 is associative

LCM of 1302 and 1310 = LCM of 1310 and 1302

Related Least Common Multiples of 1302

Related Least Common Multiples of 1310

Frequently Asked Questions on LCM of 1302 and 1310

1. What is the LCM of 1302 and 1310?

Answer: LCM of 1302 and 1310 is 852810.

2. What are the Factors of 1302?

Answer: Factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302. There are 16 integers that are factors of 1302. The greatest factor of 1302 is 1302.

3. What are the Factors of 1310?

Answer: Factors of 1310 are 1, 2, 5, 10, 131, 262, 655, 1310. There are 8 integers that are factors of 1310. The greatest factor of 1310 is 1310.

4. How to Find the LCM of 1302 and 1310?

Answer:

Least Common Multiple of 1302 and 1310 = 852810

Step 1: Find the prime factorization of 1302

1302 = 2 x 3 x 7 x 31

Step 2: Find the prime factorization of 1310

1310 = 2 x 5 x 131

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

LCM = 852810 = 2 x 3 x 5 x 7 x 31 x 131

Step 4: Therefore, the least common multiple of 1302 and 1310 is 852810.