Least Common Multiple of 2461 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 2461 and 2464 the smallest integer that is 6063904 that is divisible by both numbers.

Least Common Multiple (LCM) of 2461 and 2464 is 6063904.

LCM(2461,2464) = 6063904

LCM of 2461 and 2464

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

LCM of:
and

Least Common Multiple of 2461 and 2464

LCM of 2461 and 2464 is 6063904

Least common multiple can be found by multiplying the highest exponent prime factors of 2461 and 2464. First we will calculate the prime factors of 2461 and 2464.

Prime Factorization of 2461


23 2461
107 107
1

Prime factors of 2461 are 23,107. Prime factorization of 2461 in exponential form is:

2461 = 231×1071

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 2461 and 2464.

LCM(2461,2464) = 25×71×111×231×1071
LCM(2461,2464) = 6063904

Factors of 2461

List of positive integer factors of 2461 that divides 2461 without a remainder.

1, 23, 107, 2461

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 2461 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 2461 and 2464, than apply into the LCM equation.

GCF(2461,2464) = 1
LCM(2461,2464) = ( 2461 × 2464) / 1
LCM(2461,2464) = 6063904 / 1
LCM(2461,2464) = 6063904

Properties of LCM 2461 and 2464

(i) The LCM of 2464 and 2461 is associative

LCM of 2461 and 2464 = LCM of 2464 and 2461

Related Least Common Multiples of 2461

Related Least Common Multiples of 2464

Frequently Asked Questions on LCM of 2461 and 2464

1. What is the LCM of 2461 and 2464?

Answer: LCM of 2461 and 2464 is 6063904.

2. What are the Factors of 2461?

Answer: Factors of 2461 are 1, 23, 107, 2461. There are 4 integers that are factors of 2461. The greatest factor of 2461 is 2461.

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 2461 and 2464?

Answer:

Least Common Multiple of 2461 and 2464 = 6063904

Step 1: Find the prime factorization of 2461

2461 = 23 x 107

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 = 6063904 = 2 x 2 x 2 x 2 x 2 x 7 x 11 x 23 x 107

Step 4: Therefore, the least common multiple of 2461 and 2464 is 6063904.