Least Common Multiple of 307 and 315

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 315 the smallest integer that is 96705 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 315 is 96705.

LCM(307,315) = 96705

LCM of 307 and 315

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

LCM of:
and

Least Common Multiple of 307 and 315

LCM of 307 and 315 is 96705

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 315. First we will calculate the prime factors of 307 and 315.

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 315


3 315
3 105
5 35
7 7
1

Prime factors of 315 are 3, 5,7. Prime factorization of 315 in exponential form is:

315 = 32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 307 and 315.

LCM(307,315) = 32×51×71×3071
LCM(307,315) = 96705

Factors of 307

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

1, 307

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Least Common Multiple of 307 and 315 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 315, than apply into the LCM equation.

GCF(307,315) = 1
LCM(307,315) = ( 307 × 315) / 1
LCM(307,315) = 96705 / 1
LCM(307,315) = 96705

Properties of LCM 307 and 315

(i) The LCM of 315 and 307 is associative

LCM of 307 and 315 = LCM of 315 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 315

Frequently Asked Questions on LCM of 307 and 315

1. What is the LCM of 307 and 315?

Answer: LCM of 307 and 315 is 96705.

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 315?

Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.

4. How to Find the LCM of 307 and 315?

Answer:

Least Common Multiple of 307 and 315 = 96705

Step 1: Find the prime factorization of 307

307 = 307

Step 2: Find the prime factorization of 315

315 = 3 x 3 x 5 x 7

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

LCM = 96705 = 3 x 3 x 5 x 7 x 307

Step 4: Therefore, the least common multiple of 307 and 315 is 96705.