Least Common Multiple of 2468 and 2473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2468 and 2473 the smallest integer that is 6103364 that is divisible by both numbers.

Least Common Multiple (LCM) of 2468 and 2473 is 6103364.

LCM(2468,2473) = 6103364

LCM of 2468 and 2473

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

LCM of:
and

Least Common Multiple of 2468 and 2473

LCM of 2468 and 2473 is 6103364

Least common multiple can be found by multiplying the highest exponent prime factors of 2468 and 2473. First we will calculate the prime factors of 2468 and 2473.

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

Prime Factorization of 2473


2473 2473
1

Prime factors of 2473 are 2473. Prime factorization of 2473 in exponential form is:

2473 = 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 2468 and 2473.

LCM(2468,2473) = 22×6171×24731
LCM(2468,2473) = 6103364

Factors of 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1, 2, 4, 617, 1234, 2468

Factors of 2473

List of positive integer factors of 2473 that divides 2473 without a remainder.

1, 2473

Least Common Multiple of 2468 and 2473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2468 and 2473, than apply into the LCM equation.

GCF(2468,2473) = 1
LCM(2468,2473) = ( 2468 × 2473) / 1
LCM(2468,2473) = 6103364 / 1
LCM(2468,2473) = 6103364

Properties of LCM 2468 and 2473

(i) The LCM of 2473 and 2468 is associative

LCM of 2468 and 2473 = LCM of 2473 and 2468

Related Least Common Multiples of 2468

Related Least Common Multiples of 2473

Frequently Asked Questions on LCM of 2468 and 2473

1. What is the LCM of 2468 and 2473?

Answer: LCM of 2468 and 2473 is 6103364.

2. 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.

3. What are the Factors of 2473?

Answer: Factors of 2473 are 1, 2473. There are 2 integers that are factors of 2473. The greatest factor of 2473 is 2473.

4. How to Find the LCM of 2468 and 2473?

Answer:

Least Common Multiple of 2468 and 2473 = 6103364

Step 1: Find the prime factorization of 2468

2468 = 2 x 2 x 617

Step 2: Find the prime factorization of 2473

2473 = 2473

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

LCM = 6103364 = 2 x 2 x 617 x 2473

Step 4: Therefore, the least common multiple of 2468 and 2473 is 6103364.