Least Common Multiple of 2928 and 2936

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 2936 the smallest integer that is 1074576 that is divisible by both numbers.

Least Common Multiple (LCM) of 2928 and 2936 is 1074576.

LCM(2928,2936) = 1074576

LCM of 2928 and 2936

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

LCM of:
and

Least Common Multiple of 2928 and 2936

LCM of 2928 and 2936 is 1074576

Least common multiple can be found by multiplying the highest exponent prime factors of 2928 and 2936. First we will calculate the prime factors of 2928 and 2936.

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 2936


2 2936
2 1468
2 734
367 367
1

Prime factors of 2936 are 2,367. Prime factorization of 2936 in exponential form is:

2936 = 23×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2928 and 2936.

LCM(2928,2936) = 24×31×611×3671
LCM(2928,2936) = 1074576

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 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1, 2, 4, 8, 367, 734, 1468, 2936

Least Common Multiple of 2928 and 2936 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 2936, than apply into the LCM equation.

GCF(2928,2936) = 8
LCM(2928,2936) = ( 2928 × 2936) / 8
LCM(2928,2936) = 8596608 / 8
LCM(2928,2936) = 1074576

Properties of LCM 2928 and 2936

(i) The LCM of 2936 and 2928 is associative

LCM of 2928 and 2936 = LCM of 2936 and 2928

Related Least Common Multiples of 2928

Related Least Common Multiples of 2936

Frequently Asked Questions on LCM of 2928 and 2936

1. What is the LCM of 2928 and 2936?

Answer: LCM of 2928 and 2936 is 1074576.

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 2936?

Answer: Factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936. There are 8 integers that are factors of 2936. The greatest factor of 2936 is 2936.

4. How to Find the LCM of 2928 and 2936?

Answer:

Least Common Multiple of 2928 and 2936 = 1074576

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 2936

2936 = 2 x 2 x 2 x 367

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

LCM = 1074576 = 2 x 2 x 2 x 2 x 3 x 61 x 367

Step 4: Therefore, the least common multiple of 2928 and 2936 is 1074576.