Least Common Multiple of 2459 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 2459 and 2464 the smallest integer that is 6058976 that is divisible by both numbers.

Least Common Multiple (LCM) of 2459 and 2464 is 6058976.

LCM(2459,2464) = 6058976

LCM of 2459 and 2464

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

LCM of:
and

Least Common Multiple of 2459 and 2464

LCM of 2459 and 2464 is 6058976

Least common multiple can be found by multiplying the highest exponent prime factors of 2459 and 2464. First we will calculate the prime factors of 2459 and 2464.

Prime Factorization of 2459


2459 2459
1

Prime factors of 2459 are 2459. Prime factorization of 2459 in exponential form is:

2459 = 24591

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 2459 and 2464.

LCM(2459,2464) = 25×71×111×24591
LCM(2459,2464) = 6058976

Factors of 2459

List of positive integer factors of 2459 that divides 2459 without a remainder.

1, 2459

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 2459 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 2459 and 2464, than apply into the LCM equation.

GCF(2459,2464) = 1
LCM(2459,2464) = ( 2459 × 2464) / 1
LCM(2459,2464) = 6058976 / 1
LCM(2459,2464) = 6058976

Properties of LCM 2459 and 2464

(i) The LCM of 2464 and 2459 is associative

LCM of 2459 and 2464 = LCM of 2464 and 2459

Related Least Common Multiples of 2459

Related Least Common Multiples of 2464

Frequently Asked Questions on LCM of 2459 and 2464

1. What is the LCM of 2459 and 2464?

Answer: LCM of 2459 and 2464 is 6058976.

2. What are the Factors of 2459?

Answer: Factors of 2459 are 1, 2459. There are 2 integers that are factors of 2459. The greatest factor of 2459 is 2459.

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 2459 and 2464?

Answer:

Least Common Multiple of 2459 and 2464 = 6058976

Step 1: Find the prime factorization of 2459

2459 = 2459

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 = 6058976 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 2459

Step 4: Therefore, the least common multiple of 2459 and 2464 is 6058976.