Least Common Multiple of 26632 and 26637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26632 and 26637 the smallest integer that is 709396584 that is divisible by both numbers.

Least Common Multiple (LCM) of 26632 and 26637 is 709396584.

LCM(26632,26637) = 709396584

LCM of 26632 and 26637

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

LCM of:
and

Least Common Multiple of 26632 and 26637

LCM of 26632 and 26637 is 709396584

Least common multiple can be found by multiplying the highest exponent prime factors of 26632 and 26637. First we will calculate the prime factors of 26632 and 26637.

Prime Factorization of 26632


2 26632
2 13316
2 6658
3329 3329
1

Prime factors of 26632 are 2,3329. Prime factorization of 26632 in exponential form is:

26632 = 23×33291

Prime Factorization of 26637


3 26637
13 8879
683 683
1

Prime factors of 26637 are 3, 13,683. Prime factorization of 26637 in exponential form is:

26637 = 31×131×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 26632 and 26637.

LCM(26632,26637) = 23×31×131×6831×33291
LCM(26632,26637) = 709396584

Factors of 26632

List of positive integer factors of 26632 that divides 26632 without a remainder.

1, 2, 4, 8, 3329, 6658, 13316, 26632

Factors of 26637

List of positive integer factors of 26637 that divides 26637 without a remainder.

1, 3, 13, 39, 683, 2049, 8879, 26637

Least Common Multiple of 26632 and 26637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26632 and 26637, than apply into the LCM equation.

GCF(26632,26637) = 1
LCM(26632,26637) = ( 26632 × 26637) / 1
LCM(26632,26637) = 709396584 / 1
LCM(26632,26637) = 709396584

Properties of LCM 26632 and 26637

(i) The LCM of 26637 and 26632 is associative

LCM of 26632 and 26637 = LCM of 26637 and 26632

Related Least Common Multiples of 26632

Related Least Common Multiples of 26637

Frequently Asked Questions on LCM of 26632 and 26637

1. What is the LCM of 26632 and 26637?

Answer: LCM of 26632 and 26637 is 709396584.

2. What are the Factors of 26632?

Answer: Factors of 26632 are 1, 2, 4, 8, 3329, 6658, 13316, 26632. There are 8 integers that are factors of 26632. The greatest factor of 26632 is 26632.

3. What are the Factors of 26637?

Answer: Factors of 26637 are 1, 3, 13, 39, 683, 2049, 8879, 26637. There are 8 integers that are factors of 26637. The greatest factor of 26637 is 26637.

4. How to Find the LCM of 26632 and 26637?

Answer:

Least Common Multiple of 26632 and 26637 = 709396584

Step 1: Find the prime factorization of 26632

26632 = 2 x 2 x 2 x 3329

Step 2: Find the prime factorization of 26637

26637 = 3 x 13 x 683

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

LCM = 709396584 = 2 x 2 x 2 x 3 x 13 x 683 x 3329

Step 4: Therefore, the least common multiple of 26632 and 26637 is 709396584.