Least Common Multiple of 4314 and 4318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4314 and 4318 the smallest integer that is 9313926 that is divisible by both numbers.

Least Common Multiple (LCM) of 4314 and 4318 is 9313926.

LCM(4314,4318) = 9313926

LCM of 4314 and 4318

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

LCM of:
and

Least Common Multiple of 4314 and 4318

LCM of 4314 and 4318 is 9313926

Least common multiple can be found by multiplying the highest exponent prime factors of 4314 and 4318. First we will calculate the prime factors of 4314 and 4318.

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

Prime Factorization of 4318


2 4318
17 2159
127 127
1

Prime factors of 4318 are 2, 17,127. Prime factorization of 4318 in exponential form is:

4318 = 21×171×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4314 and 4318.

LCM(4314,4318) = 21×31×171×1271×7191
LCM(4314,4318) = 9313926

Factors of 4314

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

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

Factors of 4318

List of positive integer factors of 4318 that divides 4318 without a remainder.

1, 2, 17, 34, 127, 254, 2159, 4318

Least Common Multiple of 4314 and 4318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4314 and 4318, than apply into the LCM equation.

GCF(4314,4318) = 2
LCM(4314,4318) = ( 4314 × 4318) / 2
LCM(4314,4318) = 18627852 / 2
LCM(4314,4318) = 9313926

Properties of LCM 4314 and 4318

(i) The LCM of 4318 and 4314 is associative

LCM of 4314 and 4318 = LCM of 4318 and 4314

Related Least Common Multiples of 4314

Related Least Common Multiples of 4318

Frequently Asked Questions on LCM of 4314 and 4318

1. What is the LCM of 4314 and 4318?

Answer: LCM of 4314 and 4318 is 9313926.

2. 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.

3. What are the Factors of 4318?

Answer: Factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318. There are 8 integers that are factors of 4318. The greatest factor of 4318 is 4318.

4. How to Find the LCM of 4314 and 4318?

Answer:

Least Common Multiple of 4314 and 4318 = 9313926

Step 1: Find the prime factorization of 4314

4314 = 2 x 3 x 719

Step 2: Find the prime factorization of 4318

4318 = 2 x 17 x 127

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

LCM = 9313926 = 2 x 3 x 17 x 127 x 719

Step 4: Therefore, the least common multiple of 4314 and 4318 is 9313926.