Least Common Multiple of 2468 and 2475

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 2475 the smallest integer that is 6108300 that is divisible by both numbers.

Least Common Multiple (LCM) of 2468 and 2475 is 6108300.

LCM(2468,2475) = 6108300

LCM of 2468 and 2475

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

LCM of:
and

Least Common Multiple of 2468 and 2475

LCM of 2468 and 2475 is 6108300

Least common multiple can be found by multiplying the highest exponent prime factors of 2468 and 2475. First we will calculate the prime factors of 2468 and 2475.

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 2475


3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 2475 are 3, 5,11. Prime factorization of 2475 in exponential form is:

2475 = 32×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2468 and 2475.

LCM(2468,2475) = 22×32×52×111×6171
LCM(2468,2475) = 6108300

Factors of 2468

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

1, 2, 4, 617, 1234, 2468

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475

Least Common Multiple of 2468 and 2475 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 2475, than apply into the LCM equation.

GCF(2468,2475) = 1
LCM(2468,2475) = ( 2468 × 2475) / 1
LCM(2468,2475) = 6108300 / 1
LCM(2468,2475) = 6108300

Properties of LCM 2468 and 2475

(i) The LCM of 2475 and 2468 is associative

LCM of 2468 and 2475 = LCM of 2475 and 2468

Related Least Common Multiples of 2468

Related Least Common Multiples of 2475

Frequently Asked Questions on LCM of 2468 and 2475

1. What is the LCM of 2468 and 2475?

Answer: LCM of 2468 and 2475 is 6108300.

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 2475?

Answer: Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. There are 18 integers that are factors of 2475. The greatest factor of 2475 is 2475.

4. How to Find the LCM of 2468 and 2475?

Answer:

Least Common Multiple of 2468 and 2475 = 6108300

Step 1: Find the prime factorization of 2468

2468 = 2 x 2 x 617

Step 2: Find the prime factorization of 2475

2475 = 3 x 3 x 5 x 5 x 11

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

LCM = 6108300 = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 617

Step 4: Therefore, the least common multiple of 2468 and 2475 is 6108300.