Least Common Multiple of 2692 and 2699

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 2699 the smallest integer that is 7265708 that is divisible by both numbers.

Least Common Multiple (LCM) of 2692 and 2699 is 7265708.

LCM(2692,2699) = 7265708

LCM of 2692 and 2699

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

LCM of:
and

Least Common Multiple of 2692 and 2699

LCM of 2692 and 2699 is 7265708

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2699. First we will calculate the prime factors of 2692 and 2699.

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 2699


2699 2699
1

Prime factors of 2699 are 2699. Prime factorization of 2699 in exponential form is:

2699 = 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2699.

LCM(2692,2699) = 22×6731×26991
LCM(2692,2699) = 7265708

Factors of 2692

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

1, 2, 4, 673, 1346, 2692

Factors of 2699

List of positive integer factors of 2699 that divides 2699 without a remainder.

1, 2699

Least Common Multiple of 2692 and 2699 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 2699, than apply into the LCM equation.

GCF(2692,2699) = 1
LCM(2692,2699) = ( 2692 × 2699) / 1
LCM(2692,2699) = 7265708 / 1
LCM(2692,2699) = 7265708

Properties of LCM 2692 and 2699

(i) The LCM of 2699 and 2692 is associative

LCM of 2692 and 2699 = LCM of 2699 and 2692

Related Least Common Multiples of 2692

Related Least Common Multiples of 2699

Frequently Asked Questions on LCM of 2692 and 2699

1. What is the LCM of 2692 and 2699?

Answer: LCM of 2692 and 2699 is 7265708.

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 2699?

Answer: Factors of 2699 are 1, 2699. There are 2 integers that are factors of 2699. The greatest factor of 2699 is 2699.

4. How to Find the LCM of 2692 and 2699?

Answer:

Least Common Multiple of 2692 and 2699 = 7265708

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

Step 2: Find the prime factorization of 2699

2699 = 2699

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

LCM = 7265708 = 2 x 2 x 673 x 2699

Step 4: Therefore, the least common multiple of 2692 and 2699 is 7265708.