Least Common Multiple of 2934 and 2939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2934 and 2939 the smallest integer that is 8623026 that is divisible by both numbers.

Least Common Multiple (LCM) of 2934 and 2939 is 8623026.

LCM(2934,2939) = 8623026

LCM of 2934 and 2939

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

LCM of:
and

Least Common Multiple of 2934 and 2939

LCM of 2934 and 2939 is 8623026

Least common multiple can be found by multiplying the highest exponent prime factors of 2934 and 2939. First we will calculate the prime factors of 2934 and 2939.

Prime Factorization of 2934


2 2934
3 1467
3 489
163 163
1

Prime factors of 2934 are 2, 3,163. Prime factorization of 2934 in exponential form is:

2934 = 21×32×1631

Prime Factorization of 2939


2939 2939
1

Prime factors of 2939 are 2939. Prime factorization of 2939 in exponential form is:

2939 = 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 2934 and 2939.

LCM(2934,2939) = 21×32×1631×29391
LCM(2934,2939) = 8623026

Factors of 2934

List of positive integer factors of 2934 that divides 2934 without a remainder.

1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934

Factors of 2939

List of positive integer factors of 2939 that divides 2939 without a remainder.

1, 2939

Least Common Multiple of 2934 and 2939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2934 and 2939, than apply into the LCM equation.

GCF(2934,2939) = 1
LCM(2934,2939) = ( 2934 × 2939) / 1
LCM(2934,2939) = 8623026 / 1
LCM(2934,2939) = 8623026

Properties of LCM 2934 and 2939

(i) The LCM of 2939 and 2934 is associative

LCM of 2934 and 2939 = LCM of 2939 and 2934

Related Least Common Multiples of 2934

Related Least Common Multiples of 2939

Frequently Asked Questions on LCM of 2934 and 2939

1. What is the LCM of 2934 and 2939?

Answer: LCM of 2934 and 2939 is 8623026.

2. What are the Factors of 2934?

Answer: Factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934. There are 12 integers that are factors of 2934. The greatest factor of 2934 is 2934.

3. What are the Factors of 2939?

Answer: Factors of 2939 are 1, 2939. There are 2 integers that are factors of 2939. The greatest factor of 2939 is 2939.

4. How to Find the LCM of 2934 and 2939?

Answer:

Least Common Multiple of 2934 and 2939 = 8623026

Step 1: Find the prime factorization of 2934

2934 = 2 x 3 x 3 x 163

Step 2: Find the prime factorization of 2939

2939 = 2939

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

LCM = 8623026 = 2 x 3 x 3 x 163 x 2939

Step 4: Therefore, the least common multiple of 2934 and 2939 is 8623026.