Least Common Multiple of 2692 and 2698

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 2698 the smallest integer that is 3631508 that is divisible by both numbers.

Least Common Multiple (LCM) of 2692 and 2698 is 3631508.

LCM(2692,2698) = 3631508

LCM of 2692 and 2698

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

LCM of:
and

Least Common Multiple of 2692 and 2698

LCM of 2692 and 2698 is 3631508

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2698. First we will calculate the prime factors of 2692 and 2698.

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 2698


2 2698
19 1349
71 71
1

Prime factors of 2698 are 2, 19,71. Prime factorization of 2698 in exponential form is:

2698 = 21×191×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2698.

LCM(2692,2698) = 22×191×711×6731
LCM(2692,2698) = 3631508

Factors of 2692

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

1, 2, 4, 673, 1346, 2692

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1, 2, 19, 38, 71, 142, 1349, 2698

Least Common Multiple of 2692 and 2698 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 2698, than apply into the LCM equation.

GCF(2692,2698) = 2
LCM(2692,2698) = ( 2692 × 2698) / 2
LCM(2692,2698) = 7263016 / 2
LCM(2692,2698) = 3631508

Properties of LCM 2692 and 2698

(i) The LCM of 2698 and 2692 is associative

LCM of 2692 and 2698 = LCM of 2698 and 2692

Related Least Common Multiples of 2692

Related Least Common Multiples of 2698

Frequently Asked Questions on LCM of 2692 and 2698

1. What is the LCM of 2692 and 2698?

Answer: LCM of 2692 and 2698 is 3631508.

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 2698?

Answer: Factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698. There are 8 integers that are factors of 2698. The greatest factor of 2698 is 2698.

4. How to Find the LCM of 2692 and 2698?

Answer:

Least Common Multiple of 2692 and 2698 = 3631508

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

Step 2: Find the prime factorization of 2698

2698 = 2 x 19 x 71

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

LCM = 3631508 = 2 x 2 x 19 x 71 x 673

Step 4: Therefore, the least common multiple of 2692 and 2698 is 3631508.