Least Common Multiple of 2446 and 2453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2446 and 2453 the smallest integer that is 6000038 that is divisible by both numbers.

Least Common Multiple (LCM) of 2446 and 2453 is 6000038.

LCM(2446,2453) = 6000038

LCM of 2446 and 2453

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

LCM of:
and

Least Common Multiple of 2446 and 2453

LCM of 2446 and 2453 is 6000038

Least common multiple can be found by multiplying the highest exponent prime factors of 2446 and 2453. First we will calculate the prime factors of 2446 and 2453.

Prime Factorization of 2446


2 2446
1223 1223
1

Prime factors of 2446 are 2,1223. Prime factorization of 2446 in exponential form is:

2446 = 21×12231

Prime Factorization of 2453


11 2453
223 223
1

Prime factors of 2453 are 11,223. Prime factorization of 2453 in exponential form is:

2453 = 111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2446 and 2453.

LCM(2446,2453) = 21×111×2231×12231
LCM(2446,2453) = 6000038

Factors of 2446

List of positive integer factors of 2446 that divides 2446 without a remainder.

1, 2, 1223, 2446

Factors of 2453

List of positive integer factors of 2453 that divides 2453 without a remainder.

1, 11, 223, 2453

Least Common Multiple of 2446 and 2453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2446 and 2453, than apply into the LCM equation.

GCF(2446,2453) = 1
LCM(2446,2453) = ( 2446 × 2453) / 1
LCM(2446,2453) = 6000038 / 1
LCM(2446,2453) = 6000038

Properties of LCM 2446 and 2453

(i) The LCM of 2453 and 2446 is associative

LCM of 2446 and 2453 = LCM of 2453 and 2446

Related Least Common Multiples of 2446

Related Least Common Multiples of 2453

Frequently Asked Questions on LCM of 2446 and 2453

1. What is the LCM of 2446 and 2453?

Answer: LCM of 2446 and 2453 is 6000038.

2. What are the Factors of 2446?

Answer: Factors of 2446 are 1, 2, 1223, 2446. There are 4 integers that are factors of 2446. The greatest factor of 2446 is 2446.

3. What are the Factors of 2453?

Answer: Factors of 2453 are 1, 11, 223, 2453. There are 4 integers that are factors of 2453. The greatest factor of 2453 is 2453.

4. How to Find the LCM of 2446 and 2453?

Answer:

Least Common Multiple of 2446 and 2453 = 6000038

Step 1: Find the prime factorization of 2446

2446 = 2 x 1223

Step 2: Find the prime factorization of 2453

2453 = 11 x 223

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

LCM = 6000038 = 2 x 11 x 223 x 1223

Step 4: Therefore, the least common multiple of 2446 and 2453 is 6000038.