Least Common Multiple of 2467 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 2467 and 2473 the smallest integer that is 6100891 that is divisible by both numbers.

Least Common Multiple (LCM) of 2467 and 2473 is 6100891.

LCM(2467,2473) = 6100891

LCM of 2467 and 2473

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

LCM of:
and

Least Common Multiple of 2467 and 2473

LCM of 2467 and 2473 is 6100891

Least common multiple can be found by multiplying the highest exponent prime factors of 2467 and 2473. First we will calculate the prime factors of 2467 and 2473.

Prime Factorization of 2467


2467 2467
1

Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:

2467 = 24671

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 2467 and 2473.

LCM(2467,2473) = 24671×24731
LCM(2467,2473) = 6100891

Factors of 2467

List of positive integer factors of 2467 that divides 2467 without a remainder.

1, 2467

Factors of 2473

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

1, 2473

Least Common Multiple of 2467 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 2467 and 2473, than apply into the LCM equation.

GCF(2467,2473) = 1
LCM(2467,2473) = ( 2467 × 2473) / 1
LCM(2467,2473) = 6100891 / 1
LCM(2467,2473) = 6100891

Properties of LCM 2467 and 2473

(i) The LCM of 2473 and 2467 is associative

LCM of 2467 and 2473 = LCM of 2473 and 2467

Frequently Asked Questions on LCM of 2467 and 2473

1. What is the LCM of 2467 and 2473?

Answer: LCM of 2467 and 2473 is 6100891.

2. What are the Factors of 2467?

Answer: Factors of 2467 are 1, 2467. There are 2 integers that are factors of 2467. The greatest factor of 2467 is 2467.

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 2467 and 2473?

Answer:

Least Common Multiple of 2467 and 2473 = 6100891

Step 1: Find the prime factorization of 2467

2467 = 2467

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 = 6100891 = 2467 x 2473

Step 4: Therefore, the least common multiple of 2467 and 2473 is 6100891.