Least Common Multiple of 26633 and 26640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26633 and 26640 the smallest integer that is 709503120 that is divisible by both numbers.

Least Common Multiple (LCM) of 26633 and 26640 is 709503120.

LCM(26633,26640) = 709503120

LCM of 26633 and 26640

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

LCM of:
and

Least Common Multiple of 26633 and 26640

LCM of 26633 and 26640 is 709503120

Least common multiple can be found by multiplying the highest exponent prime factors of 26633 and 26640. First we will calculate the prime factors of 26633 and 26640.

Prime Factorization of 26633


26633 26633
1

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

26633 = 266331

Prime Factorization of 26640


2 26640
2 13320
2 6660
2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 26640 are 2, 3, 5,37. Prime factorization of 26640 in exponential form is:

26640 = 24×32×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 26633 and 26640.

LCM(26633,26640) = 24×32×51×371×266331
LCM(26633,26640) = 709503120

Factors of 26633

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

1, 26633

Factors of 26640

List of positive integer factors of 26640 that divides 26640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 37, 40, 45, 48, 60, 72, 74, 80, 90, 111, 120, 144, 148, 180, 185, 222, 240, 296, 333, 360, 370, 444, 555, 592, 666, 720, 740, 888, 1110, 1332, 1480, 1665, 1776, 2220, 2664, 2960, 3330, 4440, 5328, 6660, 8880, 13320, 26640

Least Common Multiple of 26633 and 26640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26633 and 26640, than apply into the LCM equation.

GCF(26633,26640) = 1
LCM(26633,26640) = ( 26633 × 26640) / 1
LCM(26633,26640) = 709503120 / 1
LCM(26633,26640) = 709503120

Properties of LCM 26633 and 26640

(i) The LCM of 26640 and 26633 is associative

LCM of 26633 and 26640 = LCM of 26640 and 26633

Related Least Common Multiples of 26633

Related Least Common Multiples of 26640

Frequently Asked Questions on LCM of 26633 and 26640

1. What is the LCM of 26633 and 26640?

Answer: LCM of 26633 and 26640 is 709503120.

2. 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.

3. What are the Factors of 26640?

Answer: Factors of 26640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 37, 40, 45, 48, 60, 72, 74, 80, 90, 111, 120, 144, 148, 180, 185, 222, 240, 296, 333, 360, 370, 444, 555, 592, 666, 720, 740, 888, 1110, 1332, 1480, 1665, 1776, 2220, 2664, 2960, 3330, 4440, 5328, 6660, 8880, 13320, 26640. There are 60 integers that are factors of 26640. The greatest factor of 26640 is 26640.

4. How to Find the LCM of 26633 and 26640?

Answer:

Least Common Multiple of 26633 and 26640 = 709503120

Step 1: Find the prime factorization of 26633

26633 = 26633

Step 2: Find the prime factorization of 26640

26640 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 37

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

LCM = 709503120 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 37 x 26633

Step 4: Therefore, the least common multiple of 26633 and 26640 is 709503120.