Least Common Multiple of 2460 and 2465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2460 and 2465 the smallest integer that is 1212780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2460 and 2465 is 1212780.

LCM(2460,2465) = 1212780

LCM of 2460 and 2465

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

LCM of:
and

Least Common Multiple of 2460 and 2465

LCM of 2460 and 2465 is 1212780

Least common multiple can be found by multiplying the highest exponent prime factors of 2460 and 2465. First we will calculate the prime factors of 2460 and 2465.

Prime Factorization of 2460


2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 2460 are 2, 3, 5,41. Prime factorization of 2460 in exponential form is:

2460 = 22×31×51×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2460 and 2465.

LCM(2460,2465) = 22×31×51×171×291×411
LCM(2460,2465) = 1212780

Factors of 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460

Factors of 2465

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

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

Least Common Multiple of 2460 and 2465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2460 and 2465, than apply into the LCM equation.

GCF(2460,2465) = 5
LCM(2460,2465) = ( 2460 × 2465) / 5
LCM(2460,2465) = 6063900 / 5
LCM(2460,2465) = 1212780

Properties of LCM 2460 and 2465

(i) The LCM of 2465 and 2460 is associative

LCM of 2460 and 2465 = LCM of 2465 and 2460

Related Least Common Multiples of 2460

Related Least Common Multiples of 2465

Frequently Asked Questions on LCM of 2460 and 2465

1. What is the LCM of 2460 and 2465?

Answer: LCM of 2460 and 2465 is 1212780.

2. What are the Factors of 2460?

Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.

3. 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.

4. How to Find the LCM of 2460 and 2465?

Answer:

Least Common Multiple of 2460 and 2465 = 1212780

Step 1: Find the prime factorization of 2460

2460 = 2 x 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 2465

2465 = 5 x 17 x 29

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

LCM = 1212780 = 2 x 2 x 3 x 5 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 2460 and 2465 is 1212780.