Least Common Multiple of 307 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 307 and 309 the smallest integer that is 94863 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 309 is 94863.

LCM(307,309) = 94863

LCM of 307 and 309

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

LCM of:
and

Least Common Multiple of 307 and 309

LCM of 307 and 309 is 94863

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 309. First we will calculate the prime factors of 307 and 309.

Prime Factorization of 307


307 307
1

Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:

307 = 3071

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 307 and 309.

LCM(307,309) = 31×1031×3071
LCM(307,309) = 94863

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1, 307

Factors of 309

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

1, 3, 103, 309

Least Common Multiple of 307 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 307 and 309, than apply into the LCM equation.

GCF(307,309) = 1
LCM(307,309) = ( 307 × 309) / 1
LCM(307,309) = 94863 / 1
LCM(307,309) = 94863

Properties of LCM 307 and 309

(i) The LCM of 309 and 307 is associative

LCM of 307 and 309 = LCM of 309 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 309

Frequently Asked Questions on LCM of 307 and 309

1. What is the LCM of 307 and 309?

Answer: LCM of 307 and 309 is 94863.

2. What are the Factors of 307?

Answer: Factors of 307 are 1, 307. There are 2 integers that are factors of 307. The greatest factor of 307 is 307.

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 307 and 309?

Answer:

Least Common Multiple of 307 and 309 = 94863

Step 1: Find the prime factorization of 307

307 = 307

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 = 94863 = 3 x 103 x 307

Step 4: Therefore, the least common multiple of 307 and 309 is 94863.