Least Common Multiple of 2629 and 2632

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 2632 the smallest integer that is 6919528 that is divisible by both numbers.

Least Common Multiple (LCM) of 2629 and 2632 is 6919528.

LCM(2629,2632) = 6919528

LCM of 2629 and 2632

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

LCM of:
and

Least Common Multiple of 2629 and 2632

LCM of 2629 and 2632 is 6919528

Least common multiple can be found by multiplying the highest exponent prime factors of 2629 and 2632. First we will calculate the prime factors of 2629 and 2632.

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 2632


2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 2632 are 2, 7,47. Prime factorization of 2632 in exponential form is:

2632 = 23×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2629 and 2632.

LCM(2629,2632) = 23×71×111×471×2391
LCM(2629,2632) = 6919528

Factors of 2629

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

1, 11, 239, 2629

Factors of 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632

Least Common Multiple of 2629 and 2632 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 2632, than apply into the LCM equation.

GCF(2629,2632) = 1
LCM(2629,2632) = ( 2629 × 2632) / 1
LCM(2629,2632) = 6919528 / 1
LCM(2629,2632) = 6919528

Properties of LCM 2629 and 2632

(i) The LCM of 2632 and 2629 is associative

LCM of 2629 and 2632 = LCM of 2632 and 2629

Related Least Common Multiples of 2629

Related Least Common Multiples of 2632

Frequently Asked Questions on LCM of 2629 and 2632

1. What is the LCM of 2629 and 2632?

Answer: LCM of 2629 and 2632 is 6919528.

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 2632?

Answer: Factors of 2632 are 1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632. There are 16 integers that are factors of 2632. The greatest factor of 2632 is 2632.

4. How to Find the LCM of 2629 and 2632?

Answer:

Least Common Multiple of 2629 and 2632 = 6919528

Step 1: Find the prime factorization of 2629

2629 = 11 x 239

Step 2: Find the prime factorization of 2632

2632 = 2 x 2 x 2 x 7 x 47

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

LCM = 6919528 = 2 x 2 x 2 x 7 x 11 x 47 x 239

Step 4: Therefore, the least common multiple of 2629 and 2632 is 6919528.