Least Common Multiple of 308 and 309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308 and 309 the smallest integer that is 95172 that is divisible by both numbers.

Least Common Multiple (LCM) of 308 and 309 is 95172.

LCM(308,309) = 95172

LCM of 308 and 309

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

LCM of:
and

Least Common Multiple of 308 and 309

LCM of 308 and 309 is 95172

Least common multiple can be found by multiplying the highest exponent prime factors of 308 and 309. First we will calculate the prime factors of 308 and 309.

Prime Factorization of 308


2 308
2 154
7 77
11 11
1

Prime factors of 308 are 2, 7,11. Prime factorization of 308 in exponential form is:

308 = 22×71×111

Prime Factorization of 309


3 309
103 103
1

Prime factors of 309 are 3,103. Prime factorization of 309 in exponential form is:

309 = 31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 308 and 309.

LCM(308,309) = 22×31×71×111×1031
LCM(308,309) = 95172

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Least Common Multiple of 308 and 309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308 and 309, than apply into the LCM equation.

GCF(308,309) = 1
LCM(308,309) = ( 308 × 309) / 1
LCM(308,309) = 95172 / 1
LCM(308,309) = 95172

Properties of LCM 308 and 309

(i) The LCM of 309 and 308 is associative

LCM of 308 and 309 = LCM of 309 and 308

Related Least Common Multiples of 308

Related Least Common Multiples of 309

Frequently Asked Questions on LCM of 308 and 309

1. What is the LCM of 308 and 309?

Answer: LCM of 308 and 309 is 95172.

2. What are the Factors of 308?

Answer: Factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308. There are 12 integers that are factors of 308. The greatest factor of 308 is 308.

3. What are the Factors of 309?

Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.

4. How to Find the LCM of 308 and 309?

Answer:

Least Common Multiple of 308 and 309 = 95172

Step 1: Find the prime factorization of 308

308 = 2 x 2 x 7 x 11

Step 2: Find the prime factorization of 309

309 = 3 x 103

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

LCM = 95172 = 2 x 2 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 308 and 309 is 95172.