Least Common Multiple of 26627 and 26632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26627 and 26632 the smallest integer that is 709130264 that is divisible by both numbers.

Least Common Multiple (LCM) of 26627 and 26632 is 709130264.

LCM(26627,26632) = 709130264

LCM of 26627 and 26632

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

LCM of:
and

Least Common Multiple of 26627 and 26632

LCM of 26627 and 26632 is 709130264

Least common multiple can be found by multiplying the highest exponent prime factors of 26627 and 26632. First we will calculate the prime factors of 26627 and 26632.

Prime Factorization of 26627


26627 26627
1

Prime factors of 26627 are 26627. Prime factorization of 26627 in exponential form is:

26627 = 266271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 26627 and 26632.

LCM(26627,26632) = 23×33291×266271
LCM(26627,26632) = 709130264

Factors of 26627

List of positive integer factors of 26627 that divides 26627 without a remainder.

1, 26627

Factors of 26632

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

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

Least Common Multiple of 26627 and 26632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26627 and 26632, than apply into the LCM equation.

GCF(26627,26632) = 1
LCM(26627,26632) = ( 26627 × 26632) / 1
LCM(26627,26632) = 709130264 / 1
LCM(26627,26632) = 709130264

Properties of LCM 26627 and 26632

(i) The LCM of 26632 and 26627 is associative

LCM of 26627 and 26632 = LCM of 26632 and 26627

Related Least Common Multiples of 26627

Related Least Common Multiples of 26632

Frequently Asked Questions on LCM of 26627 and 26632

1. What is the LCM of 26627 and 26632?

Answer: LCM of 26627 and 26632 is 709130264.

2. What are the Factors of 26627?

Answer: Factors of 26627 are 1, 26627. There are 2 integers that are factors of 26627. The greatest factor of 26627 is 26627.

3. 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.

4. How to Find the LCM of 26627 and 26632?

Answer:

Least Common Multiple of 26627 and 26632 = 709130264

Step 1: Find the prime factorization of 26627

26627 = 26627

Step 2: Find the prime factorization of 26632

26632 = 2 x 2 x 2 x 3329

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

LCM = 709130264 = 2 x 2 x 2 x 3329 x 26627

Step 4: Therefore, the least common multiple of 26627 and 26632 is 709130264.