Least Common Multiple of 2909 and 2914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2909 and 2914 the smallest integer that is 8476826 that is divisible by both numbers.

Least Common Multiple (LCM) of 2909 and 2914 is 8476826.

LCM(2909,2914) = 8476826

LCM of 2909 and 2914

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

LCM of:
and

Least Common Multiple of 2909 and 2914

LCM of 2909 and 2914 is 8476826

Least common multiple can be found by multiplying the highest exponent prime factors of 2909 and 2914. First we will calculate the prime factors of 2909 and 2914.

Prime Factorization of 2909


2909 2909
1

Prime factors of 2909 are 2909. Prime factorization of 2909 in exponential form is:

2909 = 29091

Prime Factorization of 2914


2 2914
31 1457
47 47
1

Prime factors of 2914 are 2, 31,47. Prime factorization of 2914 in exponential form is:

2914 = 21×311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2909 and 2914.

LCM(2909,2914) = 21×311×471×29091
LCM(2909,2914) = 8476826

Factors of 2909

List of positive integer factors of 2909 that divides 2909 without a remainder.

1, 2909

Factors of 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1, 2, 31, 47, 62, 94, 1457, 2914

Least Common Multiple of 2909 and 2914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2909 and 2914, than apply into the LCM equation.

GCF(2909,2914) = 1
LCM(2909,2914) = ( 2909 × 2914) / 1
LCM(2909,2914) = 8476826 / 1
LCM(2909,2914) = 8476826

Properties of LCM 2909 and 2914

(i) The LCM of 2914 and 2909 is associative

LCM of 2909 and 2914 = LCM of 2914 and 2909

Related Least Common Multiples of 2909

Related Least Common Multiples of 2914

Frequently Asked Questions on LCM of 2909 and 2914

1. What is the LCM of 2909 and 2914?

Answer: LCM of 2909 and 2914 is 8476826.

2. What are the Factors of 2909?

Answer: Factors of 2909 are 1, 2909. There are 2 integers that are factors of 2909. The greatest factor of 2909 is 2909.

3. What are the Factors of 2914?

Answer: Factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914. There are 8 integers that are factors of 2914. The greatest factor of 2914 is 2914.

4. How to Find the LCM of 2909 and 2914?

Answer:

Least Common Multiple of 2909 and 2914 = 8476826

Step 1: Find the prime factorization of 2909

2909 = 2909

Step 2: Find the prime factorization of 2914

2914 = 2 x 31 x 47

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

LCM = 8476826 = 2 x 31 x 47 x 2909

Step 4: Therefore, the least common multiple of 2909 and 2914 is 8476826.