Least Common Multiple of 2464 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 2464 and 2468 the smallest integer that is 1520288 that is divisible by both numbers.

Least Common Multiple (LCM) of 2464 and 2468 is 1520288.

LCM(2464,2468) = 1520288

LCM of 2464 and 2468

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

LCM of:
and

Least Common Multiple of 2464 and 2468

LCM of 2464 and 2468 is 1520288

Least common multiple can be found by multiplying the highest exponent prime factors of 2464 and 2468. First we will calculate the prime factors of 2464 and 2468.

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

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 2464 and 2468.

LCM(2464,2468) = 25×71×111×6171
LCM(2464,2468) = 1520288

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

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 2464 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 2464 and 2468, than apply into the LCM equation.

GCF(2464,2468) = 4
LCM(2464,2468) = ( 2464 × 2468) / 4
LCM(2464,2468) = 6081152 / 4
LCM(2464,2468) = 1520288

Properties of LCM 2464 and 2468

(i) The LCM of 2468 and 2464 is associative

LCM of 2464 and 2468 = LCM of 2468 and 2464

Related Least Common Multiples of 2464

Related Least Common Multiples of 2468

Frequently Asked Questions on LCM of 2464 and 2468

1. What is the LCM of 2464 and 2468?

Answer: LCM of 2464 and 2468 is 1520288.

2. 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.

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 2464 and 2468?

Answer:

Least Common Multiple of 2464 and 2468 = 1520288

Step 1: Find the prime factorization of 2464

2464 = 2 x 2 x 2 x 2 x 2 x 7 x 11

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 = 1520288 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 617

Step 4: Therefore, the least common multiple of 2464 and 2468 is 1520288.