Least Common Multiple of 1302 and 1308

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 1308 the smallest integer that is 283836 that is divisible by both numbers.

Least Common Multiple (LCM) of 1302 and 1308 is 283836.

LCM(1302,1308) = 283836

LCM of 1302 and 1308

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

LCM of:
and

Least Common Multiple of 1302 and 1308

LCM of 1302 and 1308 is 283836

Least common multiple can be found by multiplying the highest exponent prime factors of 1302 and 1308. First we will calculate the prime factors of 1302 and 1308.

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 1308


2 1308
2 654
3 327
109 109
1

Prime factors of 1308 are 2, 3,109. Prime factorization of 1308 in exponential form is:

1308 = 22×31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1302 and 1308.

LCM(1302,1308) = 22×31×71×311×1091
LCM(1302,1308) = 283836

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 1308

List of positive integer factors of 1308 that divides 1308 without a remainder.

1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308

Least Common Multiple of 1302 and 1308 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 1308, than apply into the LCM equation.

GCF(1302,1308) = 6
LCM(1302,1308) = ( 1302 × 1308) / 6
LCM(1302,1308) = 1703016 / 6
LCM(1302,1308) = 283836

Properties of LCM 1302 and 1308

(i) The LCM of 1308 and 1302 is associative

LCM of 1302 and 1308 = LCM of 1308 and 1302

Related Least Common Multiples of 1302

Related Least Common Multiples of 1308

Frequently Asked Questions on LCM of 1302 and 1308

1. What is the LCM of 1302 and 1308?

Answer: LCM of 1302 and 1308 is 283836.

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 1308?

Answer: Factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308. There are 12 integers that are factors of 1308. The greatest factor of 1308 is 1308.

4. How to Find the LCM of 1302 and 1308?

Answer:

Least Common Multiple of 1302 and 1308 = 283836

Step 1: Find the prime factorization of 1302

1302 = 2 x 3 x 7 x 31

Step 2: Find the prime factorization of 1308

1308 = 2 x 2 x 3 x 109

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

LCM = 283836 = 2 x 2 x 3 x 7 x 31 x 109

Step 4: Therefore, the least common multiple of 1302 and 1308 is 283836.