Least Common Multiple of 2692 and 2696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2692 and 2696 the smallest integer that is 1814408 that is divisible by both numbers.

Least Common Multiple (LCM) of 2692 and 2696 is 1814408.

LCM(2692,2696) = 1814408

LCM of 2692 and 2696

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

LCM of:
and

Least Common Multiple of 2692 and 2696

LCM of 2692 and 2696 is 1814408

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2696. First we will calculate the prime factors of 2692 and 2696.

Prime Factorization of 2692


2 2692
2 1346
673 673
1

Prime factors of 2692 are 2,673. Prime factorization of 2692 in exponential form is:

2692 = 22×6731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2696.

LCM(2692,2696) = 23×3371×6731
LCM(2692,2696) = 1814408

Factors of 2692

List of positive integer factors of 2692 that divides 2692 without a remainder.

1, 2, 4, 673, 1346, 2692

Factors of 2696

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

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

Least Common Multiple of 2692 and 2696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2692 and 2696, than apply into the LCM equation.

GCF(2692,2696) = 4
LCM(2692,2696) = ( 2692 × 2696) / 4
LCM(2692,2696) = 7257632 / 4
LCM(2692,2696) = 1814408

Properties of LCM 2692 and 2696

(i) The LCM of 2696 and 2692 is associative

LCM of 2692 and 2696 = LCM of 2696 and 2692

Related Least Common Multiples of 2692

Related Least Common Multiples of 2696

Frequently Asked Questions on LCM of 2692 and 2696

1. What is the LCM of 2692 and 2696?

Answer: LCM of 2692 and 2696 is 1814408.

2. What are the Factors of 2692?

Answer: Factors of 2692 are 1, 2, 4, 673, 1346, 2692. There are 6 integers that are factors of 2692. The greatest factor of 2692 is 2692.

3. 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.

4. How to Find the LCM of 2692 and 2696?

Answer:

Least Common Multiple of 2692 and 2696 = 1814408

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

Step 2: Find the prime factorization of 2696

2696 = 2 x 2 x 2 x 337

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

LCM = 1814408 = 2 x 2 x 2 x 337 x 673

Step 4: Therefore, the least common multiple of 2692 and 2696 is 1814408.