Least Common Multiple of 310 and 316

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 316 the smallest integer that is 48980 that is divisible by both numbers.

Least Common Multiple (LCM) of 310 and 316 is 48980.

LCM(310,316) = 48980

LCM of 310 and 316

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

LCM of:
and

Least Common Multiple of 310 and 316

LCM of 310 and 316 is 48980

Least common multiple can be found by multiplying the highest exponent prime factors of 310 and 316. First we will calculate the prime factors of 310 and 316.

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 316


2 316
2 158
79 79
1

Prime factors of 316 are 2,79. Prime factorization of 316 in exponential form is:

316 = 22×791

Now multiplying the highest exponent prime factors to calculate the LCM of 310 and 316.

LCM(310,316) = 22×51×311×791
LCM(310,316) = 48980

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 316

List of positive integer factors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Least Common Multiple of 310 and 316 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 316, than apply into the LCM equation.

GCF(310,316) = 2
LCM(310,316) = ( 310 × 316) / 2
LCM(310,316) = 97960 / 2
LCM(310,316) = 48980

Properties of LCM 310 and 316

(i) The LCM of 316 and 310 is associative

LCM of 310 and 316 = LCM of 316 and 310

Related Least Common Multiples of 310

Related Least Common Multiples of 316

Frequently Asked Questions on LCM of 310 and 316

1. What is the LCM of 310 and 316?

Answer: LCM of 310 and 316 is 48980.

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 316?

Answer: Factors of 316 are 1, 2, 4, 79, 158, 316. There are 6 integers that are factors of 316. The greatest factor of 316 is 316.

4. How to Find the LCM of 310 and 316?

Answer:

Least Common Multiple of 310 and 316 = 48980

Step 1: Find the prime factorization of 310

310 = 2 x 5 x 31

Step 2: Find the prime factorization of 316

316 = 2 x 2 x 79

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

LCM = 48980 = 2 x 2 x 5 x 31 x 79

Step 4: Therefore, the least common multiple of 310 and 316 is 48980.