Least Common Multiple of 4308 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 4308 and 4314 the smallest integer that is 3097452 that is divisible by both numbers.

Least Common Multiple (LCM) of 4308 and 4314 is 3097452.

LCM(4308,4314) = 3097452

LCM of 4308 and 4314

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

LCM of:
and

Least Common Multiple of 4308 and 4314

LCM of 4308 and 4314 is 3097452

Least common multiple can be found by multiplying the highest exponent prime factors of 4308 and 4314. First we will calculate the prime factors of 4308 and 4314.

Prime Factorization of 4308


2 4308
2 2154
3 1077
359 359
1

Prime factors of 4308 are 2, 3,359. Prime factorization of 4308 in exponential form is:

4308 = 22×31×3591

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 4308 and 4314.

LCM(4308,4314) = 22×31×3591×7191
LCM(4308,4314) = 3097452

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308

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 4308 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 4308 and 4314, than apply into the LCM equation.

GCF(4308,4314) = 6
LCM(4308,4314) = ( 4308 × 4314) / 6
LCM(4308,4314) = 18584712 / 6
LCM(4308,4314) = 3097452

Properties of LCM 4308 and 4314

(i) The LCM of 4314 and 4308 is associative

LCM of 4308 and 4314 = LCM of 4314 and 4308

Related Least Common Multiples of 4308

Related Least Common Multiples of 4314

Frequently Asked Questions on LCM of 4308 and 4314

1. What is the LCM of 4308 and 4314?

Answer: LCM of 4308 and 4314 is 3097452.

2. What are the Factors of 4308?

Answer: Factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308. There are 12 integers that are factors of 4308. The greatest factor of 4308 is 4308.

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 4308 and 4314?

Answer:

Least Common Multiple of 4308 and 4314 = 3097452

Step 1: Find the prime factorization of 4308

4308 = 2 x 2 x 3 x 359

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 = 3097452 = 2 x 2 x 3 x 359 x 719

Step 4: Therefore, the least common multiple of 4308 and 4314 is 3097452.