Least Common Multiple of 2465 and 2470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2465 and 2470 the smallest integer that is 1217710 that is divisible by both numbers.

Least Common Multiple (LCM) of 2465 and 2470 is 1217710.

LCM(2465,2470) = 1217710

LCM of 2465 and 2470

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

LCM of:
and

Least Common Multiple of 2465 and 2470

LCM of 2465 and 2470 is 1217710

Least common multiple can be found by multiplying the highest exponent prime factors of 2465 and 2470. First we will calculate the prime factors of 2465 and 2470.

Prime Factorization of 2465


5 2465
17 493
29 29
1

Prime factors of 2465 are 5, 17,29. Prime factorization of 2465 in exponential form is:

2465 = 51×171×291

Prime Factorization of 2470


2 2470
5 1235
13 247
19 19
1

Prime factors of 2470 are 2, 5, 13,19. Prime factorization of 2470 in exponential form is:

2470 = 21×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2465 and 2470.

LCM(2465,2470) = 21×51×131×171×191×291
LCM(2465,2470) = 1217710

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1, 5, 17, 29, 85, 145, 493, 2465

Factors of 2470

List of positive integer factors of 2470 that divides 2470 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470

Least Common Multiple of 2465 and 2470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2465 and 2470, than apply into the LCM equation.

GCF(2465,2470) = 5
LCM(2465,2470) = ( 2465 × 2470) / 5
LCM(2465,2470) = 6088550 / 5
LCM(2465,2470) = 1217710

Properties of LCM 2465 and 2470

(i) The LCM of 2470 and 2465 is associative

LCM of 2465 and 2470 = LCM of 2470 and 2465

Related Least Common Multiples of 2465

Related Least Common Multiples of 2470

Frequently Asked Questions on LCM of 2465 and 2470

1. What is the LCM of 2465 and 2470?

Answer: LCM of 2465 and 2470 is 1217710.

2. What are the Factors of 2465?

Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.

3. What are the Factors of 2470?

Answer: Factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470. There are 16 integers that are factors of 2470. The greatest factor of 2470 is 2470.

4. How to Find the LCM of 2465 and 2470?

Answer:

Least Common Multiple of 2465 and 2470 = 1217710

Step 1: Find the prime factorization of 2465

2465 = 5 x 17 x 29

Step 2: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

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

LCM = 1217710 = 2 x 5 x 13 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 2465 and 2470 is 1217710.