Least Common Multiple of 2692 and 2697

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 2697 the smallest integer that is 7260324 that is divisible by both numbers.

Least Common Multiple (LCM) of 2692 and 2697 is 7260324.

LCM(2692,2697) = 7260324

LCM of 2692 and 2697

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

LCM of:
and

Least Common Multiple of 2692 and 2697

LCM of 2692 and 2697 is 7260324

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2697. First we will calculate the prime factors of 2692 and 2697.

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 2697


3 2697
29 899
31 31
1

Prime factors of 2697 are 3, 29,31. Prime factorization of 2697 in exponential form is:

2697 = 31×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2697.

LCM(2692,2697) = 22×31×291×311×6731
LCM(2692,2697) = 7260324

Factors of 2692

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

1, 2, 4, 673, 1346, 2692

Factors of 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1, 3, 29, 31, 87, 93, 899, 2697

Least Common Multiple of 2692 and 2697 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 2697, than apply into the LCM equation.

GCF(2692,2697) = 1
LCM(2692,2697) = ( 2692 × 2697) / 1
LCM(2692,2697) = 7260324 / 1
LCM(2692,2697) = 7260324

Properties of LCM 2692 and 2697

(i) The LCM of 2697 and 2692 is associative

LCM of 2692 and 2697 = LCM of 2697 and 2692

Related Least Common Multiples of 2692

Related Least Common Multiples of 2697

Frequently Asked Questions on LCM of 2692 and 2697

1. What is the LCM of 2692 and 2697?

Answer: LCM of 2692 and 2697 is 7260324.

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 2697?

Answer: Factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697. There are 8 integers that are factors of 2697. The greatest factor of 2697 is 2697.

4. How to Find the LCM of 2692 and 2697?

Answer:

Least Common Multiple of 2692 and 2697 = 7260324

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

Step 2: Find the prime factorization of 2697

2697 = 3 x 29 x 31

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

LCM = 7260324 = 2 x 2 x 3 x 29 x 31 x 673

Step 4: Therefore, the least common multiple of 2692 and 2697 is 7260324.