Least Common Multiple of 2767 and 2772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2767 and 2772 the smallest integer that is 7670124 that is divisible by both numbers.

Least Common Multiple (LCM) of 2767 and 2772 is 7670124.

LCM(2767,2772) = 7670124

LCM of 2767 and 2772

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

LCM of:
and

Least Common Multiple of 2767 and 2772

LCM of 2767 and 2772 is 7670124

Least common multiple can be found by multiplying the highest exponent prime factors of 2767 and 2772. First we will calculate the prime factors of 2767 and 2772.

Prime Factorization of 2767


2767 2767
1

Prime factors of 2767 are 2767. Prime factorization of 2767 in exponential form is:

2767 = 27671

Prime Factorization of 2772


2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 2772 are 2, 3, 7,11. Prime factorization of 2772 in exponential form is:

2772 = 22×32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2767 and 2772.

LCM(2767,2772) = 22×32×71×111×27671
LCM(2767,2772) = 7670124

Factors of 2767

List of positive integer factors of 2767 that divides 2767 without a remainder.

1, 2767

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772

Least Common Multiple of 2767 and 2772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2767 and 2772, than apply into the LCM equation.

GCF(2767,2772) = 1
LCM(2767,2772) = ( 2767 × 2772) / 1
LCM(2767,2772) = 7670124 / 1
LCM(2767,2772) = 7670124

Properties of LCM 2767 and 2772

(i) The LCM of 2772 and 2767 is associative

LCM of 2767 and 2772 = LCM of 2772 and 2767

Related Least Common Multiples of 2767

Related Least Common Multiples of 2772

Frequently Asked Questions on LCM of 2767 and 2772

1. What is the LCM of 2767 and 2772?

Answer: LCM of 2767 and 2772 is 7670124.

2. What are the Factors of 2767?

Answer: Factors of 2767 are 1, 2767. There are 2 integers that are factors of 2767. The greatest factor of 2767 is 2767.

3. What are the Factors of 2772?

Answer: Factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. There are 36 integers that are factors of 2772. The greatest factor of 2772 is 2772.

4. How to Find the LCM of 2767 and 2772?

Answer:

Least Common Multiple of 2767 and 2772 = 7670124

Step 1: Find the prime factorization of 2767

2767 = 2767

Step 2: Find the prime factorization of 2772

2772 = 2 x 2 x 3 x 3 x 7 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 = 7670124 = 2 x 2 x 3 x 3 x 7 x 11 x 2767

Step 4: Therefore, the least common multiple of 2767 and 2772 is 7670124.