Least Common Multiple of 4309 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 4309 and 4314 the smallest integer that is 18589026 that is divisible by both numbers.

Least Common Multiple (LCM) of 4309 and 4314 is 18589026.

LCM(4309,4314) = 18589026

LCM of 4309 and 4314

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

LCM of:
and

Least Common Multiple of 4309 and 4314

LCM of 4309 and 4314 is 18589026

Least common multiple can be found by multiplying the highest exponent prime factors of 4309 and 4314. First we will calculate the prime factors of 4309 and 4314.

Prime Factorization of 4309


31 4309
139 139
1

Prime factors of 4309 are 31,139. Prime factorization of 4309 in exponential form is:

4309 = 311×1391

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 4309 and 4314.

LCM(4309,4314) = 21×31×311×1391×7191
LCM(4309,4314) = 18589026

Factors of 4309

List of positive integer factors of 4309 that divides 4309 without a remainder.

1, 31, 139, 4309

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 4309 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 4309 and 4314, than apply into the LCM equation.

GCF(4309,4314) = 1
LCM(4309,4314) = ( 4309 × 4314) / 1
LCM(4309,4314) = 18589026 / 1
LCM(4309,4314) = 18589026

Properties of LCM 4309 and 4314

(i) The LCM of 4314 and 4309 is associative

LCM of 4309 and 4314 = LCM of 4314 and 4309

Related Least Common Multiples of 4309

Related Least Common Multiples of 4314

Frequently Asked Questions on LCM of 4309 and 4314

1. What is the LCM of 4309 and 4314?

Answer: LCM of 4309 and 4314 is 18589026.

2. What are the Factors of 4309?

Answer: Factors of 4309 are 1, 31, 139, 4309. There are 4 integers that are factors of 4309. The greatest factor of 4309 is 4309.

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 4309 and 4314?

Answer:

Least Common Multiple of 4309 and 4314 = 18589026

Step 1: Find the prime factorization of 4309

4309 = 31 x 139

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 = 18589026 = 2 x 3 x 31 x 139 x 719

Step 4: Therefore, the least common multiple of 4309 and 4314 is 18589026.