Least Common Multiple of 2763 and 2767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2763 and 2767 the smallest integer that is 7645221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2763 and 2767 is 7645221.

LCM(2763,2767) = 7645221

LCM of 2763 and 2767

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

LCM of:
and

Least Common Multiple of 2763 and 2767

LCM of 2763 and 2767 is 7645221

Least common multiple can be found by multiplying the highest exponent prime factors of 2763 and 2767. First we will calculate the prime factors of 2763 and 2767.

Prime Factorization of 2763


3 2763
3 921
307 307
1

Prime factors of 2763 are 3,307. Prime factorization of 2763 in exponential form is:

2763 = 32×3071

Prime Factorization of 2767


2767 2767
1

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

2767 = 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 2763 and 2767.

LCM(2763,2767) = 32×3071×27671
LCM(2763,2767) = 7645221

Factors of 2763

List of positive integer factors of 2763 that divides 2763 without a remainder.

1, 3, 9, 307, 921, 2763

Factors of 2767

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

1, 2767

Least Common Multiple of 2763 and 2767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2763 and 2767, than apply into the LCM equation.

GCF(2763,2767) = 1
LCM(2763,2767) = ( 2763 × 2767) / 1
LCM(2763,2767) = 7645221 / 1
LCM(2763,2767) = 7645221

Properties of LCM 2763 and 2767

(i) The LCM of 2767 and 2763 is associative

LCM of 2763 and 2767 = LCM of 2767 and 2763

Related Least Common Multiples of 2763

Related Least Common Multiples of 2767

Frequently Asked Questions on LCM of 2763 and 2767

1. What is the LCM of 2763 and 2767?

Answer: LCM of 2763 and 2767 is 7645221.

2. What are the Factors of 2763?

Answer: Factors of 2763 are 1, 3, 9, 307, 921, 2763. There are 6 integers that are factors of 2763. The greatest factor of 2763 is 2763.

3. 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.

4. How to Find the LCM of 2763 and 2767?

Answer:

Least Common Multiple of 2763 and 2767 = 7645221

Step 1: Find the prime factorization of 2763

2763 = 3 x 3 x 307

Step 2: Find the prime factorization of 2767

2767 = 2767

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

LCM = 7645221 = 3 x 3 x 307 x 2767

Step 4: Therefore, the least common multiple of 2763 and 2767 is 7645221.