Least Common Multiple of 2470 and 2475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2470 and 2475 the smallest integer that is 1222650 that is divisible by both numbers.

Least Common Multiple (LCM) of 2470 and 2475 is 1222650.

LCM(2470,2475) = 1222650

LCM of 2470 and 2475

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

LCM of:
and

Least Common Multiple of 2470 and 2475

LCM of 2470 and 2475 is 1222650

Least common multiple can be found by multiplying the highest exponent prime factors of 2470 and 2475. First we will calculate the prime factors of 2470 and 2475.

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

Prime Factorization of 2475


3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 2475 are 3, 5,11. Prime factorization of 2475 in exponential form is:

2475 = 32×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2470 and 2475.

LCM(2470,2475) = 21×32×52×111×131×191
LCM(2470,2475) = 1222650

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

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475

Least Common Multiple of 2470 and 2475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2470 and 2475, than apply into the LCM equation.

GCF(2470,2475) = 5
LCM(2470,2475) = ( 2470 × 2475) / 5
LCM(2470,2475) = 6113250 / 5
LCM(2470,2475) = 1222650

Properties of LCM 2470 and 2475

(i) The LCM of 2475 and 2470 is associative

LCM of 2470 and 2475 = LCM of 2475 and 2470

Related Least Common Multiples of 2470

Related Least Common Multiples of 2475

Frequently Asked Questions on LCM of 2470 and 2475

1. What is the LCM of 2470 and 2475?

Answer: LCM of 2470 and 2475 is 1222650.

2. 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.

3. What are the Factors of 2475?

Answer: Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. There are 18 integers that are factors of 2475. The greatest factor of 2475 is 2475.

4. How to Find the LCM of 2470 and 2475?

Answer:

Least Common Multiple of 2470 and 2475 = 1222650

Step 1: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 2475

2475 = 3 x 3 x 5 x 5 x 11

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

LCM = 1222650 = 2 x 3 x 3 x 5 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 2470 and 2475 is 1222650.