Least Common Multiple of 2458 and 2465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2458 and 2465 the smallest integer that is 6058970 that is divisible by both numbers.

Least Common Multiple (LCM) of 2458 and 2465 is 6058970.

LCM(2458,2465) = 6058970

LCM of 2458 and 2465

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

LCM of:
and

Least Common Multiple of 2458 and 2465

LCM of 2458 and 2465 is 6058970

Least common multiple can be found by multiplying the highest exponent prime factors of 2458 and 2465. First we will calculate the prime factors of 2458 and 2465.

Prime Factorization of 2458


2 2458
1229 1229
1

Prime factors of 2458 are 2,1229. Prime factorization of 2458 in exponential form is:

2458 = 21×12291

Prime Factorization of 2465


5 2465
17 493
29 29
1

Prime factors of 2465 are 5, 17,29. Prime factorization of 2465 in exponential form is:

2465 = 51×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2458 and 2465.

LCM(2458,2465) = 21×51×171×291×12291
LCM(2458,2465) = 6058970

Factors of 2458

List of positive integer factors of 2458 that divides 2458 without a remainder.

1, 2, 1229, 2458

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1, 5, 17, 29, 85, 145, 493, 2465

Least Common Multiple of 2458 and 2465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2458 and 2465, than apply into the LCM equation.

GCF(2458,2465) = 1
LCM(2458,2465) = ( 2458 × 2465) / 1
LCM(2458,2465) = 6058970 / 1
LCM(2458,2465) = 6058970

Properties of LCM 2458 and 2465

(i) The LCM of 2465 and 2458 is associative

LCM of 2458 and 2465 = LCM of 2465 and 2458

Related Least Common Multiples of 2458

Related Least Common Multiples of 2465

Frequently Asked Questions on LCM of 2458 and 2465

1. What is the LCM of 2458 and 2465?

Answer: LCM of 2458 and 2465 is 6058970.

2. What are the Factors of 2458?

Answer: Factors of 2458 are 1, 2, 1229, 2458. There are 4 integers that are factors of 2458. The greatest factor of 2458 is 2458.

3. What are the Factors of 2465?

Answer: Factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465. There are 8 integers that are factors of 2465. The greatest factor of 2465 is 2465.

4. How to Find the LCM of 2458 and 2465?

Answer:

Least Common Multiple of 2458 and 2465 = 6058970

Step 1: Find the prime factorization of 2458

2458 = 2 x 1229

Step 2: Find the prime factorization of 2465

2465 = 5 x 17 x 29

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

LCM = 6058970 = 2 x 5 x 17 x 29 x 1229

Step 4: Therefore, the least common multiple of 2458 and 2465 is 6058970.