Least Common Multiple of 2629 and 2633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2629 and 2633 the smallest integer that is 6922157 that is divisible by both numbers.

Least Common Multiple (LCM) of 2629 and 2633 is 6922157.

LCM(2629,2633) = 6922157

LCM of 2629 and 2633

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

LCM of:
and

Least Common Multiple of 2629 and 2633

LCM of 2629 and 2633 is 6922157

Least common multiple can be found by multiplying the highest exponent prime factors of 2629 and 2633. First we will calculate the prime factors of 2629 and 2633.

Prime Factorization of 2629


11 2629
239 239
1

Prime factors of 2629 are 11,239. Prime factorization of 2629 in exponential form is:

2629 = 111×2391

Prime Factorization of 2633


2633 2633
1

Prime factors of 2633 are 2633. Prime factorization of 2633 in exponential form is:

2633 = 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 2629 and 2633.

LCM(2629,2633) = 111×2391×26331
LCM(2629,2633) = 6922157

Factors of 2629

List of positive integer factors of 2629 that divides 2629 without a remainder.

1, 11, 239, 2629

Factors of 2633

List of positive integer factors of 2633 that divides 2633 without a remainder.

1, 2633

Least Common Multiple of 2629 and 2633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2629 and 2633, than apply into the LCM equation.

GCF(2629,2633) = 1
LCM(2629,2633) = ( 2629 × 2633) / 1
LCM(2629,2633) = 6922157 / 1
LCM(2629,2633) = 6922157

Properties of LCM 2629 and 2633

(i) The LCM of 2633 and 2629 is associative

LCM of 2629 and 2633 = LCM of 2633 and 2629

Related Least Common Multiples of 2629

Related Least Common Multiples of 2633

Frequently Asked Questions on LCM of 2629 and 2633

1. What is the LCM of 2629 and 2633?

Answer: LCM of 2629 and 2633 is 6922157.

2. What are the Factors of 2629?

Answer: Factors of 2629 are 1, 11, 239, 2629. There are 4 integers that are factors of 2629. The greatest factor of 2629 is 2629.

3. What are the Factors of 2633?

Answer: Factors of 2633 are 1, 2633. There are 2 integers that are factors of 2633. The greatest factor of 2633 is 2633.

4. How to Find the LCM of 2629 and 2633?

Answer:

Least Common Multiple of 2629 and 2633 = 6922157

Step 1: Find the prime factorization of 2629

2629 = 11 x 239

Step 2: Find the prime factorization of 2633

2633 = 2633

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

LCM = 6922157 = 11 x 239 x 2633

Step 4: Therefore, the least common multiple of 2629 and 2633 is 6922157.