Least Common Multiple of 2696 and 2701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2696 and 2701 the smallest integer that is 7281896 that is divisible by both numbers.

Least Common Multiple (LCM) of 2696 and 2701 is 7281896.

LCM(2696,2701) = 7281896

LCM of 2696 and 2701

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

LCM of:
and

Least Common Multiple of 2696 and 2701

LCM of 2696 and 2701 is 7281896

Least common multiple can be found by multiplying the highest exponent prime factors of 2696 and 2701. First we will calculate the prime factors of 2696 and 2701.

Prime Factorization of 2696


2 2696
2 1348
2 674
337 337
1

Prime factors of 2696 are 2,337. Prime factorization of 2696 in exponential form is:

2696 = 23×3371

Prime Factorization of 2701


37 2701
73 73
1

Prime factors of 2701 are 37,73. Prime factorization of 2701 in exponential form is:

2701 = 371×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2696 and 2701.

LCM(2696,2701) = 23×371×731×3371
LCM(2696,2701) = 7281896

Factors of 2696

List of positive integer factors of 2696 that divides 2696 without a remainder.

1, 2, 4, 8, 337, 674, 1348, 2696

Factors of 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1, 37, 73, 2701

Least Common Multiple of 2696 and 2701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2696 and 2701, than apply into the LCM equation.

GCF(2696,2701) = 1
LCM(2696,2701) = ( 2696 × 2701) / 1
LCM(2696,2701) = 7281896 / 1
LCM(2696,2701) = 7281896

Properties of LCM 2696 and 2701

(i) The LCM of 2701 and 2696 is associative

LCM of 2696 and 2701 = LCM of 2701 and 2696

Related Least Common Multiples of 2696

Related Least Common Multiples of 2701

Frequently Asked Questions on LCM of 2696 and 2701

1. What is the LCM of 2696 and 2701?

Answer: LCM of 2696 and 2701 is 7281896.

2. What are the Factors of 2696?

Answer: Factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696. There are 8 integers that are factors of 2696. The greatest factor of 2696 is 2696.

3. What are the Factors of 2701?

Answer: Factors of 2701 are 1, 37, 73, 2701. There are 4 integers that are factors of 2701. The greatest factor of 2701 is 2701.

4. How to Find the LCM of 2696 and 2701?

Answer:

Least Common Multiple of 2696 and 2701 = 7281896

Step 1: Find the prime factorization of 2696

2696 = 2 x 2 x 2 x 337

Step 2: Find the prime factorization of 2701

2701 = 37 x 73

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

LCM = 7281896 = 2 x 2 x 2 x 37 x 73 x 337

Step 4: Therefore, the least common multiple of 2696 and 2701 is 7281896.