Least Common Multiple of 2784 and 2792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2784 and 2792 the smallest integer that is 971616 that is divisible by both numbers.

Least Common Multiple (LCM) of 2784 and 2792 is 971616.

LCM(2784,2792) = 971616

LCM of 2784 and 2792

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

LCM of:
and

Least Common Multiple of 2784 and 2792

LCM of 2784 and 2792 is 971616

Least common multiple can be found by multiplying the highest exponent prime factors of 2784 and 2792. First we will calculate the prime factors of 2784 and 2792.

Prime Factorization of 2784


2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 2784 are 2, 3,29. Prime factorization of 2784 in exponential form is:

2784 = 25×31×291

Prime Factorization of 2792


2 2792
2 1396
2 698
349 349
1

Prime factors of 2792 are 2,349. Prime factorization of 2792 in exponential form is:

2792 = 23×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 2784 and 2792.

LCM(2784,2792) = 25×31×291×3491
LCM(2784,2792) = 971616

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784

Factors of 2792

List of positive integer factors of 2792 that divides 2792 without a remainder.

1, 2, 4, 8, 349, 698, 1396, 2792

Least Common Multiple of 2784 and 2792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2784 and 2792, than apply into the LCM equation.

GCF(2784,2792) = 8
LCM(2784,2792) = ( 2784 × 2792) / 8
LCM(2784,2792) = 7772928 / 8
LCM(2784,2792) = 971616

Properties of LCM 2784 and 2792

(i) The LCM of 2792 and 2784 is associative

LCM of 2784 and 2792 = LCM of 2792 and 2784

Related Least Common Multiples of 2784

Related Least Common Multiples of 2792

Frequently Asked Questions on LCM of 2784 and 2792

1. What is the LCM of 2784 and 2792?

Answer: LCM of 2784 and 2792 is 971616.

2. What are the Factors of 2784?

Answer: Factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784. There are 24 integers that are factors of 2784. The greatest factor of 2784 is 2784.

3. What are the Factors of 2792?

Answer: Factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792. There are 8 integers that are factors of 2792. The greatest factor of 2792 is 2792.

4. How to Find the LCM of 2784 and 2792?

Answer:

Least Common Multiple of 2784 and 2792 = 971616

Step 1: Find the prime factorization of 2784

2784 = 2 x 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 2792

2792 = 2 x 2 x 2 x 349

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

LCM = 971616 = 2 x 2 x 2 x 2 x 2 x 3 x 29 x 349

Step 4: Therefore, the least common multiple of 2784 and 2792 is 971616.