Least Common Multiple of 26626 and 26633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26626 and 26633 the smallest integer that is 709130258 that is divisible by both numbers.

Least Common Multiple (LCM) of 26626 and 26633 is 709130258.

LCM(26626,26633) = 709130258

LCM of 26626 and 26633

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

LCM of:
and

Least Common Multiple of 26626 and 26633

LCM of 26626 and 26633 is 709130258

Least common multiple can be found by multiplying the highest exponent prime factors of 26626 and 26633. First we will calculate the prime factors of 26626 and 26633.

Prime Factorization of 26626


2 26626
13313 13313
1

Prime factors of 26626 are 2,13313. Prime factorization of 26626 in exponential form is:

26626 = 21×133131

Prime Factorization of 26633


26633 26633
1

Prime factors of 26633 are 26633. Prime factorization of 26633 in exponential form is:

26633 = 266331

Now multiplying the highest exponent prime factors to calculate the LCM of 26626 and 26633.

LCM(26626,26633) = 21×133131×266331
LCM(26626,26633) = 709130258

Factors of 26626

List of positive integer factors of 26626 that divides 26626 without a remainder.

1, 2, 13313, 26626

Factors of 26633

List of positive integer factors of 26633 that divides 26633 without a remainder.

1, 26633

Least Common Multiple of 26626 and 26633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26626 and 26633, than apply into the LCM equation.

GCF(26626,26633) = 1
LCM(26626,26633) = ( 26626 × 26633) / 1
LCM(26626,26633) = 709130258 / 1
LCM(26626,26633) = 709130258

Properties of LCM 26626 and 26633

(i) The LCM of 26633 and 26626 is associative

LCM of 26626 and 26633 = LCM of 26633 and 26626

Related Least Common Multiples of 26626

Related Least Common Multiples of 26633

Frequently Asked Questions on LCM of 26626 and 26633

1. What is the LCM of 26626 and 26633?

Answer: LCM of 26626 and 26633 is 709130258.

2. What are the Factors of 26626?

Answer: Factors of 26626 are 1, 2, 13313, 26626. There are 4 integers that are factors of 26626. The greatest factor of 26626 is 26626.

3. What are the Factors of 26633?

Answer: Factors of 26633 are 1, 26633. There are 2 integers that are factors of 26633. The greatest factor of 26633 is 26633.

4. How to Find the LCM of 26626 and 26633?

Answer:

Least Common Multiple of 26626 and 26633 = 709130258

Step 1: Find the prime factorization of 26626

26626 = 2 x 13313

Step 2: Find the prime factorization of 26633

26633 = 26633

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

LCM = 709130258 = 2 x 13313 x 26633

Step 4: Therefore, the least common multiple of 26626 and 26633 is 709130258.