Least Common Multiple of 4310 and 4314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4310 and 4314 the smallest integer that is 9296670 that is divisible by both numbers.

Least Common Multiple (LCM) of 4310 and 4314 is 9296670.

LCM(4310,4314) = 9296670

LCM of 4310 and 4314

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

LCM of:
and

Least Common Multiple of 4310 and 4314

LCM of 4310 and 4314 is 9296670

Least common multiple can be found by multiplying the highest exponent prime factors of 4310 and 4314. First we will calculate the prime factors of 4310 and 4314.

Prime Factorization of 4310


2 4310
5 2155
431 431
1

Prime factors of 4310 are 2, 5,431. Prime factorization of 4310 in exponential form is:

4310 = 21×51×4311

Prime Factorization of 4314


2 4314
3 2157
719 719
1

Prime factors of 4314 are 2, 3,719. Prime factorization of 4314 in exponential form is:

4314 = 21×31×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 4310 and 4314.

LCM(4310,4314) = 21×31×51×4311×7191
LCM(4310,4314) = 9296670

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1, 2, 5, 10, 431, 862, 2155, 4310

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1, 2, 3, 6, 719, 1438, 2157, 4314

Least Common Multiple of 4310 and 4314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4310 and 4314, than apply into the LCM equation.

GCF(4310,4314) = 2
LCM(4310,4314) = ( 4310 × 4314) / 2
LCM(4310,4314) = 18593340 / 2
LCM(4310,4314) = 9296670

Properties of LCM 4310 and 4314

(i) The LCM of 4314 and 4310 is associative

LCM of 4310 and 4314 = LCM of 4314 and 4310

Related Least Common Multiples of 4310

Related Least Common Multiples of 4314

Frequently Asked Questions on LCM of 4310 and 4314

1. What is the LCM of 4310 and 4314?

Answer: LCM of 4310 and 4314 is 9296670.

2. What are the Factors of 4310?

Answer: Factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310. There are 8 integers that are factors of 4310. The greatest factor of 4310 is 4310.

3. What are the Factors of 4314?

Answer: Factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314. There are 8 integers that are factors of 4314. The greatest factor of 4314 is 4314.

4. How to Find the LCM of 4310 and 4314?

Answer:

Least Common Multiple of 4310 and 4314 = 9296670

Step 1: Find the prime factorization of 4310

4310 = 2 x 5 x 431

Step 2: Find the prime factorization of 4314

4314 = 2 x 3 x 719

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

LCM = 9296670 = 2 x 3 x 5 x 431 x 719

Step 4: Therefore, the least common multiple of 4310 and 4314 is 9296670.