Least Common Multiple of 26645 and 26650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26645 and 26650 the smallest integer that is 142017850 that is divisible by both numbers.

Least Common Multiple (LCM) of 26645 and 26650 is 142017850.

LCM(26645,26650) = 142017850

LCM of 26645 and 26650

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

LCM of:
and

Least Common Multiple of 26645 and 26650

LCM of 26645 and 26650 is 142017850

Least common multiple can be found by multiplying the highest exponent prime factors of 26645 and 26650. First we will calculate the prime factors of 26645 and 26650.

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

Prime Factorization of 26650


2 26650
5 13325
5 2665
13 533
41 41
1

Prime factors of 26650 are 2, 5, 13,41. Prime factorization of 26650 in exponential form is:

26650 = 21×52×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 26645 and 26650.

LCM(26645,26650) = 21×52×131×411×732
LCM(26645,26650) = 142017850

Factors of 26645

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

1, 5, 73, 365, 5329, 26645

Factors of 26650

List of positive integer factors of 26650 that divides 26650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 41, 50, 65, 82, 130, 205, 325, 410, 533, 650, 1025, 1066, 2050, 2665, 5330, 13325, 26650

Least Common Multiple of 26645 and 26650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26645 and 26650, than apply into the LCM equation.

GCF(26645,26650) = 5
LCM(26645,26650) = ( 26645 × 26650) / 5
LCM(26645,26650) = 710089250 / 5
LCM(26645,26650) = 142017850

Properties of LCM 26645 and 26650

(i) The LCM of 26650 and 26645 is associative

LCM of 26645 and 26650 = LCM of 26650 and 26645

Related Least Common Multiples of 26645

Related Least Common Multiples of 26650

Frequently Asked Questions on LCM of 26645 and 26650

1. What is the LCM of 26645 and 26650?

Answer: LCM of 26645 and 26650 is 142017850.

2. 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.

3. What are the Factors of 26650?

Answer: Factors of 26650 are 1, 2, 5, 10, 13, 25, 26, 41, 50, 65, 82, 130, 205, 325, 410, 533, 650, 1025, 1066, 2050, 2665, 5330, 13325, 26650. There are 24 integers that are factors of 26650. The greatest factor of 26650 is 26650.

4. How to Find the LCM of 26645 and 26650?

Answer:

Least Common Multiple of 26645 and 26650 = 142017850

Step 1: Find the prime factorization of 26645

26645 = 5 x 73 x 73

Step 2: Find the prime factorization of 26650

26650 = 2 x 5 x 5 x 13 x 41

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

LCM = 142017850 = 2 x 5 x 5 x 13 x 41 x 73 x 73

Step 4: Therefore, the least common multiple of 26645 and 26650 is 142017850.