Least Common Multiple of 2460 and 2468

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 2468 the smallest integer that is 1517820 that is divisible by both numbers.

Least Common Multiple (LCM) of 2460 and 2468 is 1517820.

LCM(2460,2468) = 1517820

LCM of 2460 and 2468

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

LCM of:
and

Least Common Multiple of 2460 and 2468

LCM of 2460 and 2468 is 1517820

Least common multiple can be found by multiplying the highest exponent prime factors of 2460 and 2468. First we will calculate the prime factors of 2460 and 2468.

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 2468


2 2468
2 1234
617 617
1

Prime factors of 2468 are 2,617. Prime factorization of 2468 in exponential form is:

2468 = 22×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 2460 and 2468.

LCM(2460,2468) = 22×31×51×411×6171
LCM(2460,2468) = 1517820

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 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1, 2, 4, 617, 1234, 2468

Least Common Multiple of 2460 and 2468 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 2468, than apply into the LCM equation.

GCF(2460,2468) = 4
LCM(2460,2468) = ( 2460 × 2468) / 4
LCM(2460,2468) = 6071280 / 4
LCM(2460,2468) = 1517820

Properties of LCM 2460 and 2468

(i) The LCM of 2468 and 2460 is associative

LCM of 2460 and 2468 = LCM of 2468 and 2460

Related Least Common Multiples of 2460

Related Least Common Multiples of 2468

Frequently Asked Questions on LCM of 2460 and 2468

1. What is the LCM of 2460 and 2468?

Answer: LCM of 2460 and 2468 is 1517820.

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 2468?

Answer: Factors of 2468 are 1, 2, 4, 617, 1234, 2468. There are 6 integers that are factors of 2468. The greatest factor of 2468 is 2468.

4. How to Find the LCM of 2460 and 2468?

Answer:

Least Common Multiple of 2460 and 2468 = 1517820

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 2468

2468 = 2 x 2 x 617

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

LCM = 1517820 = 2 x 2 x 3 x 5 x 41 x 617

Step 4: Therefore, the least common multiple of 2460 and 2468 is 1517820.