Least Common Multiple of 2928 and 2935

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 2935 the smallest integer that is 8593680 that is divisible by both numbers.

Least Common Multiple (LCM) of 2928 and 2935 is 8593680.

LCM(2928,2935) = 8593680

LCM of 2928 and 2935

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

LCM of:
and

Least Common Multiple of 2928 and 2935

LCM of 2928 and 2935 is 8593680

Least common multiple can be found by multiplying the highest exponent prime factors of 2928 and 2935. First we will calculate the prime factors of 2928 and 2935.

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 2935


5 2935
587 587
1

Prime factors of 2935 are 5,587. Prime factorization of 2935 in exponential form is:

2935 = 51×5871

Now multiplying the highest exponent prime factors to calculate the LCM of 2928 and 2935.

LCM(2928,2935) = 24×31×51×611×5871
LCM(2928,2935) = 8593680

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 2935

List of positive integer factors of 2935 that divides 2935 without a remainder.

1, 5, 587, 2935

Least Common Multiple of 2928 and 2935 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 2935, than apply into the LCM equation.

GCF(2928,2935) = 1
LCM(2928,2935) = ( 2928 × 2935) / 1
LCM(2928,2935) = 8593680 / 1
LCM(2928,2935) = 8593680

Properties of LCM 2928 and 2935

(i) The LCM of 2935 and 2928 is associative

LCM of 2928 and 2935 = LCM of 2935 and 2928

Related Least Common Multiples of 2928

Related Least Common Multiples of 2935

Frequently Asked Questions on LCM of 2928 and 2935

1. What is the LCM of 2928 and 2935?

Answer: LCM of 2928 and 2935 is 8593680.

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 2935?

Answer: Factors of 2935 are 1, 5, 587, 2935. There are 4 integers that are factors of 2935. The greatest factor of 2935 is 2935.

4. How to Find the LCM of 2928 and 2935?

Answer:

Least Common Multiple of 2928 and 2935 = 8593680

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 2935

2935 = 5 x 587

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

LCM = 8593680 = 2 x 2 x 2 x 2 x 3 x 5 x 61 x 587

Step 4: Therefore, the least common multiple of 2928 and 2935 is 8593680.