Least Common Multiple of 2929 and 2934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2929 and 2934 the smallest integer that is 8593686 that is divisible by both numbers.

Least Common Multiple (LCM) of 2929 and 2934 is 8593686.

LCM(2929,2934) = 8593686

LCM of 2929 and 2934

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

LCM of:
and

Least Common Multiple of 2929 and 2934

LCM of 2929 and 2934 is 8593686

Least common multiple can be found by multiplying the highest exponent prime factors of 2929 and 2934. First we will calculate the prime factors of 2929 and 2934.

Prime Factorization of 2929


29 2929
101 101
1

Prime factors of 2929 are 29,101. Prime factorization of 2929 in exponential form is:

2929 = 291×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2929 and 2934.

LCM(2929,2934) = 21×32×291×1011×1631
LCM(2929,2934) = 8593686

Factors of 2929

List of positive integer factors of 2929 that divides 2929 without a remainder.

1, 29, 101, 2929

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

Least Common Multiple of 2929 and 2934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2929 and 2934, than apply into the LCM equation.

GCF(2929,2934) = 1
LCM(2929,2934) = ( 2929 × 2934) / 1
LCM(2929,2934) = 8593686 / 1
LCM(2929,2934) = 8593686

Properties of LCM 2929 and 2934

(i) The LCM of 2934 and 2929 is associative

LCM of 2929 and 2934 = LCM of 2934 and 2929

Related Least Common Multiples of 2929

Related Least Common Multiples of 2934

Frequently Asked Questions on LCM of 2929 and 2934

1. What is the LCM of 2929 and 2934?

Answer: LCM of 2929 and 2934 is 8593686.

2. What are the Factors of 2929?

Answer: Factors of 2929 are 1, 29, 101, 2929. There are 4 integers that are factors of 2929. The greatest factor of 2929 is 2929.

3. 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.

4. How to Find the LCM of 2929 and 2934?

Answer:

Least Common Multiple of 2929 and 2934 = 8593686

Step 1: Find the prime factorization of 2929

2929 = 29 x 101

Step 2: Find the prime factorization of 2934

2934 = 2 x 3 x 3 x 163

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

LCM = 8593686 = 2 x 3 x 3 x 29 x 101 x 163

Step 4: Therefore, the least common multiple of 2929 and 2934 is 8593686.