Least Common Multiple of 310 and 318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310 and 318 the smallest integer that is 49290 that is divisible by both numbers.

Least Common Multiple (LCM) of 310 and 318 is 49290.

LCM(310,318) = 49290

LCM of 310 and 318

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

LCM of:
and

Least Common Multiple of 310 and 318

LCM of 310 and 318 is 49290

Least common multiple can be found by multiplying the highest exponent prime factors of 310 and 318. First we will calculate the prime factors of 310 and 318.

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

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 310 and 318.

LCM(310,318) = 21×31×51×311×531
LCM(310,318) = 49290

Factors of 310

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

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

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Least Common Multiple of 310 and 318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310 and 318, than apply into the LCM equation.

GCF(310,318) = 2
LCM(310,318) = ( 310 × 318) / 2
LCM(310,318) = 98580 / 2
LCM(310,318) = 49290

Properties of LCM 310 and 318

(i) The LCM of 318 and 310 is associative

LCM of 310 and 318 = LCM of 318 and 310

Related Least Common Multiples of 310

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 310 and 318

1. What is the LCM of 310 and 318?

Answer: LCM of 310 and 318 is 49290.

2. 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.

3. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

4. How to Find the LCM of 310 and 318?

Answer:

Least Common Multiple of 310 and 318 = 49290

Step 1: Find the prime factorization of 310

310 = 2 x 5 x 31

Step 2: Find the prime factorization of 318

318 = 2 x 3 x 53

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

LCM = 49290 = 2 x 3 x 5 x 31 x 53

Step 4: Therefore, the least common multiple of 310 and 318 is 49290.