Least Common Multiple of 2469 and 2477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2469 and 2477 the smallest integer that is 6115713 that is divisible by both numbers.

Least Common Multiple (LCM) of 2469 and 2477 is 6115713.

LCM(2469,2477) = 6115713

LCM of 2469 and 2477

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

LCM of:
and

Least Common Multiple of 2469 and 2477

LCM of 2469 and 2477 is 6115713

Least common multiple can be found by multiplying the highest exponent prime factors of 2469 and 2477. First we will calculate the prime factors of 2469 and 2477.

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

Prime Factorization of 2477


2477 2477
1

Prime factors of 2477 are 2477. Prime factorization of 2477 in exponential form is:

2477 = 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 2469 and 2477.

LCM(2469,2477) = 31×8231×24771
LCM(2469,2477) = 6115713

Factors of 2469

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

1, 3, 823, 2469

Factors of 2477

List of positive integer factors of 2477 that divides 2477 without a remainder.

1, 2477

Least Common Multiple of 2469 and 2477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2469 and 2477, than apply into the LCM equation.

GCF(2469,2477) = 1
LCM(2469,2477) = ( 2469 × 2477) / 1
LCM(2469,2477) = 6115713 / 1
LCM(2469,2477) = 6115713

Properties of LCM 2469 and 2477

(i) The LCM of 2477 and 2469 is associative

LCM of 2469 and 2477 = LCM of 2477 and 2469

Related Least Common Multiples of 2469

Related Least Common Multiples of 2477

Frequently Asked Questions on LCM of 2469 and 2477

1. What is the LCM of 2469 and 2477?

Answer: LCM of 2469 and 2477 is 6115713.

2. 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.

3. What are the Factors of 2477?

Answer: Factors of 2477 are 1, 2477. There are 2 integers that are factors of 2477. The greatest factor of 2477 is 2477.

4. How to Find the LCM of 2469 and 2477?

Answer:

Least Common Multiple of 2469 and 2477 = 6115713

Step 1: Find the prime factorization of 2469

2469 = 3 x 823

Step 2: Find the prime factorization of 2477

2477 = 2477

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

LCM = 6115713 = 3 x 823 x 2477

Step 4: Therefore, the least common multiple of 2469 and 2477 is 6115713.