Least Common Multiple of 2629 and 2636

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 2636 the smallest integer that is 6930044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2629 and 2636 is 6930044.

LCM(2629,2636) = 6930044

LCM of 2629 and 2636

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

LCM of:
and

Least Common Multiple of 2629 and 2636

LCM of 2629 and 2636 is 6930044

Least common multiple can be found by multiplying the highest exponent prime factors of 2629 and 2636. First we will calculate the prime factors of 2629 and 2636.

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 2636


2 2636
2 1318
659 659
1

Prime factors of 2636 are 2,659. Prime factorization of 2636 in exponential form is:

2636 = 22×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 2629 and 2636.

LCM(2629,2636) = 22×111×2391×6591
LCM(2629,2636) = 6930044

Factors of 2629

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

1, 11, 239, 2629

Factors of 2636

List of positive integer factors of 2636 that divides 2636 without a remainder.

1, 2, 4, 659, 1318, 2636

Least Common Multiple of 2629 and 2636 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 2636, than apply into the LCM equation.

GCF(2629,2636) = 1
LCM(2629,2636) = ( 2629 × 2636) / 1
LCM(2629,2636) = 6930044 / 1
LCM(2629,2636) = 6930044

Properties of LCM 2629 and 2636

(i) The LCM of 2636 and 2629 is associative

LCM of 2629 and 2636 = LCM of 2636 and 2629

Related Least Common Multiples of 2629

Related Least Common Multiples of 2636

Frequently Asked Questions on LCM of 2629 and 2636

1. What is the LCM of 2629 and 2636?

Answer: LCM of 2629 and 2636 is 6930044.

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 2636?

Answer: Factors of 2636 are 1, 2, 4, 659, 1318, 2636. There are 6 integers that are factors of 2636. The greatest factor of 2636 is 2636.

4. How to Find the LCM of 2629 and 2636?

Answer:

Least Common Multiple of 2629 and 2636 = 6930044

Step 1: Find the prime factorization of 2629

2629 = 11 x 239

Step 2: Find the prime factorization of 2636

2636 = 2 x 2 x 659

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

LCM = 6930044 = 2 x 2 x 11 x 239 x 659

Step 4: Therefore, the least common multiple of 2629 and 2636 is 6930044.