Least Common Multiple of 26324 and 26330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26324 and 26330 the smallest integer that is 346555460 that is divisible by both numbers.

Least Common Multiple (LCM) of 26324 and 26330 is 346555460.

LCM(26324,26330) = 346555460

LCM of 26324 and 26330

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

LCM of:
and

Least Common Multiple of 26324 and 26330

LCM of 26324 and 26330 is 346555460

Least common multiple can be found by multiplying the highest exponent prime factors of 26324 and 26330. First we will calculate the prime factors of 26324 and 26330.

Prime Factorization of 26324


2 26324
2 13162
6581 6581
1

Prime factors of 26324 are 2,6581. Prime factorization of 26324 in exponential form is:

26324 = 22×65811

Prime Factorization of 26330


2 26330
5 13165
2633 2633
1

Prime factors of 26330 are 2, 5,2633. Prime factorization of 26330 in exponential form is:

26330 = 21×51×26331

Now multiplying the highest exponent prime factors to calculate the LCM of 26324 and 26330.

LCM(26324,26330) = 22×51×26331×65811
LCM(26324,26330) = 346555460

Factors of 26324

List of positive integer factors of 26324 that divides 26324 without a remainder.

1, 2, 4, 6581, 13162, 26324

Factors of 26330

List of positive integer factors of 26330 that divides 26330 without a remainder.

1, 2, 5, 10, 2633, 5266, 13165, 26330

Least Common Multiple of 26324 and 26330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26324 and 26330, than apply into the LCM equation.

GCF(26324,26330) = 2
LCM(26324,26330) = ( 26324 × 26330) / 2
LCM(26324,26330) = 693110920 / 2
LCM(26324,26330) = 346555460

Properties of LCM 26324 and 26330

(i) The LCM of 26330 and 26324 is associative

LCM of 26324 and 26330 = LCM of 26330 and 26324

Related Least Common Multiples of 26324

Related Least Common Multiples of 26330

Frequently Asked Questions on LCM of 26324 and 26330

1. What is the LCM of 26324 and 26330?

Answer: LCM of 26324 and 26330 is 346555460.

2. What are the Factors of 26324?

Answer: Factors of 26324 are 1, 2, 4, 6581, 13162, 26324. There are 6 integers that are factors of 26324. The greatest factor of 26324 is 26324.

3. What are the Factors of 26330?

Answer: Factors of 26330 are 1, 2, 5, 10, 2633, 5266, 13165, 26330. There are 8 integers that are factors of 26330. The greatest factor of 26330 is 26330.

4. How to Find the LCM of 26324 and 26330?

Answer:

Least Common Multiple of 26324 and 26330 = 346555460

Step 1: Find the prime factorization of 26324

26324 = 2 x 2 x 6581

Step 2: Find the prime factorization of 26330

26330 = 2 x 5 x 2633

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

LCM = 346555460 = 2 x 2 x 5 x 2633 x 6581

Step 4: Therefore, the least common multiple of 26324 and 26330 is 346555460.