Least Common Multiple of 307 and 310

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 310 the smallest integer that is 95170 that is divisible by both numbers.

Least Common Multiple (LCM) of 307 and 310 is 95170.

LCM(307,310) = 95170

LCM of 307 and 310

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

LCM of:
and

Least Common Multiple of 307 and 310

LCM of 307 and 310 is 95170

Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 310. First we will calculate the prime factors of 307 and 310.

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 310


2 310
5 155
31 31
1

Prime factors of 310 are 2, 5,31. Prime factorization of 310 in exponential form is:

310 = 21×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 307 and 310.

LCM(307,310) = 21×51×311×3071
LCM(307,310) = 95170

Factors of 307

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

1, 307

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Least Common Multiple of 307 and 310 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 310, than apply into the LCM equation.

GCF(307,310) = 1
LCM(307,310) = ( 307 × 310) / 1
LCM(307,310) = 95170 / 1
LCM(307,310) = 95170

Properties of LCM 307 and 310

(i) The LCM of 310 and 307 is associative

LCM of 307 and 310 = LCM of 310 and 307

Related Least Common Multiples of 307

Related Least Common Multiples of 310

Frequently Asked Questions on LCM of 307 and 310

1. What is the LCM of 307 and 310?

Answer: LCM of 307 and 310 is 95170.

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 310?

Answer: Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. There are 8 integers that are factors of 310. The greatest factor of 310 is 310.

4. How to Find the LCM of 307 and 310?

Answer:

Least Common Multiple of 307 and 310 = 95170

Step 1: Find the prime factorization of 307

307 = 307

Step 2: Find the prime factorization of 310

310 = 2 x 5 x 31

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

LCM = 95170 = 2 x 5 x 31 x 307

Step 4: Therefore, the least common multiple of 307 and 310 is 95170.