Least Common Multiple of 2460 and 2464

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 2464 the smallest integer that is 1515360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2460 and 2464 is 1515360.

LCM(2460,2464) = 1515360

LCM of 2460 and 2464

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

LCM of:
and

Least Common Multiple of 2460 and 2464

LCM of 2460 and 2464 is 1515360

Least common multiple can be found by multiplying the highest exponent prime factors of 2460 and 2464. First we will calculate the prime factors of 2460 and 2464.

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 2464


2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 2464 are 2, 7,11. Prime factorization of 2464 in exponential form is:

2464 = 25×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2460 and 2464.

LCM(2460,2464) = 25×31×51×71×111×411
LCM(2460,2464) = 1515360

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 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464

Least Common Multiple of 2460 and 2464 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 2464, than apply into the LCM equation.

GCF(2460,2464) = 4
LCM(2460,2464) = ( 2460 × 2464) / 4
LCM(2460,2464) = 6061440 / 4
LCM(2460,2464) = 1515360

Properties of LCM 2460 and 2464

(i) The LCM of 2464 and 2460 is associative

LCM of 2460 and 2464 = LCM of 2464 and 2460

Related Least Common Multiples of 2460

Related Least Common Multiples of 2464

Frequently Asked Questions on LCM of 2460 and 2464

1. What is the LCM of 2460 and 2464?

Answer: LCM of 2460 and 2464 is 1515360.

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 2464?

Answer: Factors of 2464 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 154, 176, 224, 308, 352, 616, 1232, 2464. There are 24 integers that are factors of 2464. The greatest factor of 2464 is 2464.

4. How to Find the LCM of 2460 and 2464?

Answer:

Least Common Multiple of 2460 and 2464 = 1515360

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 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 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 = 1515360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 41

Step 4: Therefore, the least common multiple of 2460 and 2464 is 1515360.