Least Common Multiple of 1303 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 1303 and 1308 the smallest integer that is 1704324 that is divisible by both numbers.

Least Common Multiple (LCM) of 1303 and 1308 is 1704324.

LCM(1303,1308) = 1704324

LCM of 1303 and 1308

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

LCM of:
and

Least Common Multiple of 1303 and 1308

LCM of 1303 and 1308 is 1704324

Least common multiple can be found by multiplying the highest exponent prime factors of 1303 and 1308. First we will calculate the prime factors of 1303 and 1308.

Prime Factorization of 1303


1303 1303
1

Prime factors of 1303 are 1303. Prime factorization of 1303 in exponential form is:

1303 = 13031

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 1303 and 1308.

LCM(1303,1308) = 22×31×1091×13031
LCM(1303,1308) = 1704324

Factors of 1303

List of positive integer factors of 1303 that divides 1303 without a remainder.

1, 1303

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 1303 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 1303 and 1308, than apply into the LCM equation.

GCF(1303,1308) = 1
LCM(1303,1308) = ( 1303 × 1308) / 1
LCM(1303,1308) = 1704324 / 1
LCM(1303,1308) = 1704324

Properties of LCM 1303 and 1308

(i) The LCM of 1308 and 1303 is associative

LCM of 1303 and 1308 = LCM of 1308 and 1303

Related Least Common Multiples of 1303

Related Least Common Multiples of 1308

Frequently Asked Questions on LCM of 1303 and 1308

1. What is the LCM of 1303 and 1308?

Answer: LCM of 1303 and 1308 is 1704324.

2. What are the Factors of 1303?

Answer: Factors of 1303 are 1, 1303. There are 2 integers that are factors of 1303. The greatest factor of 1303 is 1303.

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 1303 and 1308?

Answer:

Least Common Multiple of 1303 and 1308 = 1704324

Step 1: Find the prime factorization of 1303

1303 = 1303

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 = 1704324 = 2 x 2 x 3 x 109 x 1303

Step 4: Therefore, the least common multiple of 1303 and 1308 is 1704324.