Least Common Multiple of 2772 and 2777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2772 and 2777 the smallest integer that is 7697844 that is divisible by both numbers.

Least Common Multiple (LCM) of 2772 and 2777 is 7697844.

LCM(2772,2777) = 7697844

LCM of 2772 and 2777

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

LCM of:
and

Least Common Multiple of 2772 and 2777

LCM of 2772 and 2777 is 7697844

Least common multiple can be found by multiplying the highest exponent prime factors of 2772 and 2777. First we will calculate the prime factors of 2772 and 2777.

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

Prime Factorization of 2777


2777 2777
1

Prime factors of 2777 are 2777. Prime factorization of 2777 in exponential form is:

2777 = 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 2772 and 2777.

LCM(2772,2777) = 22×32×71×111×27771
LCM(2772,2777) = 7697844

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

Factors of 2777

List of positive integer factors of 2777 that divides 2777 without a remainder.

1, 2777

Least Common Multiple of 2772 and 2777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2772 and 2777, than apply into the LCM equation.

GCF(2772,2777) = 1
LCM(2772,2777) = ( 2772 × 2777) / 1
LCM(2772,2777) = 7697844 / 1
LCM(2772,2777) = 7697844

Properties of LCM 2772 and 2777

(i) The LCM of 2777 and 2772 is associative

LCM of 2772 and 2777 = LCM of 2777 and 2772

Related Least Common Multiples of 2772

Related Least Common Multiples of 2777

Frequently Asked Questions on LCM of 2772 and 2777

1. What is the LCM of 2772 and 2777?

Answer: LCM of 2772 and 2777 is 7697844.

2. 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.

3. What are the Factors of 2777?

Answer: Factors of 2777 are 1, 2777. There are 2 integers that are factors of 2777. The greatest factor of 2777 is 2777.

4. How to Find the LCM of 2772 and 2777?

Answer:

Least Common Multiple of 2772 and 2777 = 7697844

Step 1: Find the prime factorization of 2772

2772 = 2 x 2 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 2777

2777 = 2777

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

LCM = 7697844 = 2 x 2 x 3 x 3 x 7 x 11 x 2777

Step 4: Therefore, the least common multiple of 2772 and 2777 is 7697844.