Least Common Multiple of 2692 and 2694

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 2694 the smallest integer that is 3626124 that is divisible by both numbers.

Least Common Multiple (LCM) of 2692 and 2694 is 3626124.

LCM(2692,2694) = 3626124

LCM of 2692 and 2694

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

LCM of:
and

Least Common Multiple of 2692 and 2694

LCM of 2692 and 2694 is 3626124

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2694. First we will calculate the prime factors of 2692 and 2694.

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 2694


2 2694
3 1347
449 449
1

Prime factors of 2694 are 2, 3,449. Prime factorization of 2694 in exponential form is:

2694 = 21×31×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2694.

LCM(2692,2694) = 22×31×4491×6731
LCM(2692,2694) = 3626124

Factors of 2692

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

1, 2, 4, 673, 1346, 2692

Factors of 2694

List of positive integer factors of 2694 that divides 2694 without a remainder.

1, 2, 3, 6, 449, 898, 1347, 2694

Least Common Multiple of 2692 and 2694 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 2694, than apply into the LCM equation.

GCF(2692,2694) = 2
LCM(2692,2694) = ( 2692 × 2694) / 2
LCM(2692,2694) = 7252248 / 2
LCM(2692,2694) = 3626124

Properties of LCM 2692 and 2694

(i) The LCM of 2694 and 2692 is associative

LCM of 2692 and 2694 = LCM of 2694 and 2692

Related Least Common Multiples of 2692

Related Least Common Multiples of 2694

Frequently Asked Questions on LCM of 2692 and 2694

1. What is the LCM of 2692 and 2694?

Answer: LCM of 2692 and 2694 is 3626124.

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 2694?

Answer: Factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694. There are 8 integers that are factors of 2694. The greatest factor of 2694 is 2694.

4. How to Find the LCM of 2692 and 2694?

Answer:

Least Common Multiple of 2692 and 2694 = 3626124

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

Step 2: Find the prime factorization of 2694

2694 = 2 x 3 x 449

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

LCM = 3626124 = 2 x 2 x 3 x 449 x 673

Step 4: Therefore, the least common multiple of 2692 and 2694 is 3626124.