Least Common Multiple of 2923 and 2928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2923 and 2928 the smallest integer that is 8558544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2923 and 2928 is 8558544.

LCM(2923,2928) = 8558544

LCM of 2923 and 2928

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

LCM of:
and

Least Common Multiple of 2923 and 2928

LCM of 2923 and 2928 is 8558544

Least common multiple can be found by multiplying the highest exponent prime factors of 2923 and 2928. First we will calculate the prime factors of 2923 and 2928.

Prime Factorization of 2923


37 2923
79 79
1

Prime factors of 2923 are 37,79. Prime factorization of 2923 in exponential form is:

2923 = 371×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2923 and 2928.

LCM(2923,2928) = 24×31×371×611×791
LCM(2923,2928) = 8558544

Factors of 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1, 37, 79, 2923

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

Least Common Multiple of 2923 and 2928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2923 and 2928, than apply into the LCM equation.

GCF(2923,2928) = 1
LCM(2923,2928) = ( 2923 × 2928) / 1
LCM(2923,2928) = 8558544 / 1
LCM(2923,2928) = 8558544

Properties of LCM 2923 and 2928

(i) The LCM of 2928 and 2923 is associative

LCM of 2923 and 2928 = LCM of 2928 and 2923

Related Least Common Multiples of 2923

Related Least Common Multiples of 2928

Frequently Asked Questions on LCM of 2923 and 2928

1. What is the LCM of 2923 and 2928?

Answer: LCM of 2923 and 2928 is 8558544.

2. What are the Factors of 2923?

Answer: Factors of 2923 are 1, 37, 79, 2923. There are 4 integers that are factors of 2923. The greatest factor of 2923 is 2923.

3. 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.

4. How to Find the LCM of 2923 and 2928?

Answer:

Least Common Multiple of 2923 and 2928 = 8558544

Step 1: Find the prime factorization of 2923

2923 = 37 x 79

Step 2: Find the prime factorization of 2928

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

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

LCM = 8558544 = 2 x 2 x 2 x 2 x 3 x 37 x 61 x 79

Step 4: Therefore, the least common multiple of 2923 and 2928 is 8558544.