Least Common Multiple of 2460 and 2467

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 2467 the smallest integer that is 6068820 that is divisible by both numbers.

Least Common Multiple (LCM) of 2460 and 2467 is 6068820.

LCM(2460,2467) = 6068820

LCM of 2460 and 2467

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

LCM of:
and

Least Common Multiple of 2460 and 2467

LCM of 2460 and 2467 is 6068820

Least common multiple can be found by multiplying the highest exponent prime factors of 2460 and 2467. First we will calculate the prime factors of 2460 and 2467.

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 2467


2467 2467
1

Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:

2467 = 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 2460 and 2467.

LCM(2460,2467) = 22×31×51×411×24671
LCM(2460,2467) = 6068820

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 2467

List of positive integer factors of 2467 that divides 2467 without a remainder.

1, 2467

Least Common Multiple of 2460 and 2467 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 2467, than apply into the LCM equation.

GCF(2460,2467) = 1
LCM(2460,2467) = ( 2460 × 2467) / 1
LCM(2460,2467) = 6068820 / 1
LCM(2460,2467) = 6068820

Properties of LCM 2460 and 2467

(i) The LCM of 2467 and 2460 is associative

LCM of 2460 and 2467 = LCM of 2467 and 2460

Related Least Common Multiples of 2460

Related Least Common Multiples of 2467

Frequently Asked Questions on LCM of 2460 and 2467

1. What is the LCM of 2460 and 2467?

Answer: LCM of 2460 and 2467 is 6068820.

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 2467?

Answer: Factors of 2467 are 1, 2467. There are 2 integers that are factors of 2467. The greatest factor of 2467 is 2467.

4. How to Find the LCM of 2460 and 2467?

Answer:

Least Common Multiple of 2460 and 2467 = 6068820

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 2467

2467 = 2467

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

LCM = 6068820 = 2 x 2 x 3 x 5 x 41 x 2467

Step 4: Therefore, the least common multiple of 2460 and 2467 is 6068820.