Least Common Multiple of 26640 and 26645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26640 and 26645 the smallest integer that is 141964560 that is divisible by both numbers.

Least Common Multiple (LCM) of 26640 and 26645 is 141964560.

LCM(26640,26645) = 141964560

LCM of 26640 and 26645

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

LCM of:
and

Least Common Multiple of 26640 and 26645

LCM of 26640 and 26645 is 141964560

Least common multiple can be found by multiplying the highest exponent prime factors of 26640 and 26645. First we will calculate the prime factors of 26640 and 26645.

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

Prime Factorization of 26645


5 26645
73 5329
73 73
1

Prime factors of 26645 are 5,73. Prime factorization of 26645 in exponential form is:

26645 = 51×732

Now multiplying the highest exponent prime factors to calculate the LCM of 26640 and 26645.

LCM(26640,26645) = 24×32×51×371×732
LCM(26640,26645) = 141964560

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

Factors of 26645

List of positive integer factors of 26645 that divides 26645 without a remainder.

1, 5, 73, 365, 5329, 26645

Least Common Multiple of 26640 and 26645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26640 and 26645, than apply into the LCM equation.

GCF(26640,26645) = 5
LCM(26640,26645) = ( 26640 × 26645) / 5
LCM(26640,26645) = 709822800 / 5
LCM(26640,26645) = 141964560

Properties of LCM 26640 and 26645

(i) The LCM of 26645 and 26640 is associative

LCM of 26640 and 26645 = LCM of 26645 and 26640

Related Least Common Multiples of 26640

Related Least Common Multiples of 26645

Frequently Asked Questions on LCM of 26640 and 26645

1. What is the LCM of 26640 and 26645?

Answer: LCM of 26640 and 26645 is 141964560.

2. 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.

3. What are the Factors of 26645?

Answer: Factors of 26645 are 1, 5, 73, 365, 5329, 26645. There are 6 integers that are factors of 26645. The greatest factor of 26645 is 26645.

4. How to Find the LCM of 26640 and 26645?

Answer:

Least Common Multiple of 26640 and 26645 = 141964560

Step 1: Find the prime factorization of 26640

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

Step 2: Find the prime factorization of 26645

26645 = 5 x 73 x 73

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

LCM = 141964560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 37 x 73 x 73

Step 4: Therefore, the least common multiple of 26640 and 26645 is 141964560.