Least Common Multiple of 2462 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 2462 and 2468 the smallest integer that is 3038108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2462 and 2468 is 3038108.

LCM(2462,2468) = 3038108

LCM of 2462 and 2468

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

LCM of:
and

Least Common Multiple of 2462 and 2468

LCM of 2462 and 2468 is 3038108

Least common multiple can be found by multiplying the highest exponent prime factors of 2462 and 2468. First we will calculate the prime factors of 2462 and 2468.

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 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 2462 and 2468.

LCM(2462,2468) = 22×6171×12311
LCM(2462,2468) = 3038108

Factors of 2462

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

1, 2, 1231, 2462

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 2462 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 2462 and 2468, than apply into the LCM equation.

GCF(2462,2468) = 2
LCM(2462,2468) = ( 2462 × 2468) / 2
LCM(2462,2468) = 6076216 / 2
LCM(2462,2468) = 3038108

Properties of LCM 2462 and 2468

(i) The LCM of 2468 and 2462 is associative

LCM of 2462 and 2468 = LCM of 2468 and 2462

Related Least Common Multiples of 2462

Related Least Common Multiples of 2468

Frequently Asked Questions on LCM of 2462 and 2468

1. What is the LCM of 2462 and 2468?

Answer: LCM of 2462 and 2468 is 3038108.

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 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 2462 and 2468?

Answer:

Least Common Multiple of 2462 and 2468 = 3038108

Step 1: Find the prime factorization of 2462

2462 = 2 x 1231

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 = 3038108 = 2 x 2 x 617 x 1231

Step 4: Therefore, the least common multiple of 2462 and 2468 is 3038108.