Least Common Multiple of 2928 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 2928 and 2934 the smallest integer that is 1431792 that is divisible by both numbers.

Least Common Multiple (LCM) of 2928 and 2934 is 1431792.

LCM(2928,2934) = 1431792

LCM of 2928 and 2934

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

LCM of:
and

Least Common Multiple of 2928 and 2934

LCM of 2928 and 2934 is 1431792

Least common multiple can be found by multiplying the highest exponent prime factors of 2928 and 2934. First we will calculate the prime factors of 2928 and 2934.

Prime Factorization of 2928


2 2928
2 1464
2 732
2 366
3 183
61 61
1

Prime factors of 2928 are 2, 3,61. Prime factorization of 2928 in exponential form is:

2928 = 24×31×611

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 2928 and 2934.

LCM(2928,2934) = 24×32×611×1631
LCM(2928,2934) = 1431792

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928

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 2928 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 2928 and 2934, than apply into the LCM equation.

GCF(2928,2934) = 6
LCM(2928,2934) = ( 2928 × 2934) / 6
LCM(2928,2934) = 8590752 / 6
LCM(2928,2934) = 1431792

Properties of LCM 2928 and 2934

(i) The LCM of 2934 and 2928 is associative

LCM of 2928 and 2934 = LCM of 2934 and 2928

Related Least Common Multiples of 2928

Related Least Common Multiples of 2934

Frequently Asked Questions on LCM of 2928 and 2934

1. What is the LCM of 2928 and 2934?

Answer: LCM of 2928 and 2934 is 1431792.

2. What are the Factors of 2928?

Answer: Factors of 2928 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928. There are 20 integers that are factors of 2928. The greatest factor of 2928 is 2928.

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 2928 and 2934?

Answer:

Least Common Multiple of 2928 and 2934 = 1431792

Step 1: Find the prime factorization of 2928

2928 = 2 x 2 x 2 x 2 x 3 x 61

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 = 1431792 = 2 x 2 x 2 x 2 x 3 x 3 x 61 x 163

Step 4: Therefore, the least common multiple of 2928 and 2934 is 1431792.