Least Common Multiple of 2462 and 2469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2462 and 2469 the smallest integer that is 6078678 that is divisible by both numbers.

Least Common Multiple (LCM) of 2462 and 2469 is 6078678.

LCM(2462,2469) = 6078678

LCM of 2462 and 2469

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

LCM of:
and

Least Common Multiple of 2462 and 2469

LCM of 2462 and 2469 is 6078678

Least common multiple can be found by multiplying the highest exponent prime factors of 2462 and 2469. First we will calculate the prime factors of 2462 and 2469.

Prime Factorization of 2462


2 2462
1231 1231
1

Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:

2462 = 21×12311

Prime Factorization of 2469


3 2469
823 823
1

Prime factors of 2469 are 3,823. Prime factorization of 2469 in exponential form is:

2469 = 31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 2462 and 2469.

LCM(2462,2469) = 21×31×8231×12311
LCM(2462,2469) = 6078678

Factors of 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1, 2, 1231, 2462

Factors of 2469

List of positive integer factors of 2469 that divides 2469 without a remainder.

1, 3, 823, 2469

Least Common Multiple of 2462 and 2469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2462 and 2469, than apply into the LCM equation.

GCF(2462,2469) = 1
LCM(2462,2469) = ( 2462 × 2469) / 1
LCM(2462,2469) = 6078678 / 1
LCM(2462,2469) = 6078678

Properties of LCM 2462 and 2469

(i) The LCM of 2469 and 2462 is associative

LCM of 2462 and 2469 = LCM of 2469 and 2462

Related Least Common Multiples of 2462

Related Least Common Multiples of 2469

Frequently Asked Questions on LCM of 2462 and 2469

1. What is the LCM of 2462 and 2469?

Answer: LCM of 2462 and 2469 is 6078678.

2. What are the Factors of 2462?

Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.

3. What are the Factors of 2469?

Answer: Factors of 2469 are 1, 3, 823, 2469. There are 4 integers that are factors of 2469. The greatest factor of 2469 is 2469.

4. How to Find the LCM of 2462 and 2469?

Answer:

Least Common Multiple of 2462 and 2469 = 6078678

Step 1: Find the prime factorization of 2462

2462 = 2 x 1231

Step 2: Find the prime factorization of 2469

2469 = 3 x 823

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

LCM = 6078678 = 2 x 3 x 823 x 1231

Step 4: Therefore, the least common multiple of 2462 and 2469 is 6078678.