Least Common Multiple of 2811 and 2816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2811 and 2816 the smallest integer that is 7915776 that is divisible by both numbers.

Least Common Multiple (LCM) of 2811 and 2816 is 7915776.

LCM(2811,2816) = 7915776

LCM of 2811 and 2816

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

LCM of:
and

Least Common Multiple of 2811 and 2816

LCM of 2811 and 2816 is 7915776

Least common multiple can be found by multiplying the highest exponent prime factors of 2811 and 2816. First we will calculate the prime factors of 2811 and 2816.

Prime Factorization of 2811


3 2811
937 937
1

Prime factors of 2811 are 3,937. Prime factorization of 2811 in exponential form is:

2811 = 31×9371

Prime Factorization of 2816


2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 2816 are 2,11. Prime factorization of 2816 in exponential form is:

2816 = 28×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2811 and 2816.

LCM(2811,2816) = 28×31×111×9371
LCM(2811,2816) = 7915776

Factors of 2811

List of positive integer factors of 2811 that divides 2811 without a remainder.

1, 3, 937, 2811

Factors of 2816

List of positive integer factors of 2816 that divides 2816 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816

Least Common Multiple of 2811 and 2816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2811 and 2816, than apply into the LCM equation.

GCF(2811,2816) = 1
LCM(2811,2816) = ( 2811 × 2816) / 1
LCM(2811,2816) = 7915776 / 1
LCM(2811,2816) = 7915776

Properties of LCM 2811 and 2816

(i) The LCM of 2816 and 2811 is associative

LCM of 2811 and 2816 = LCM of 2816 and 2811

Related Least Common Multiples of 2811

Related Least Common Multiples of 2816

Frequently Asked Questions on LCM of 2811 and 2816

1. What is the LCM of 2811 and 2816?

Answer: LCM of 2811 and 2816 is 7915776.

2. What are the Factors of 2811?

Answer: Factors of 2811 are 1, 3, 937, 2811. There are 4 integers that are factors of 2811. The greatest factor of 2811 is 2811.

3. What are the Factors of 2816?

Answer: Factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816. There are 18 integers that are factors of 2816. The greatest factor of 2816 is 2816.

4. How to Find the LCM of 2811 and 2816?

Answer:

Least Common Multiple of 2811 and 2816 = 7915776

Step 1: Find the prime factorization of 2811

2811 = 3 x 937

Step 2: Find the prime factorization of 2816

2816 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 7915776 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 937

Step 4: Therefore, the least common multiple of 2811 and 2816 is 7915776.