Least Common Multiple of 2624 and 2630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2624 and 2630 the smallest integer that is 3450560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2624 and 2630 is 3450560.

LCM(2624,2630) = 3450560

LCM of 2624 and 2630

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

LCM of:
and

Least Common Multiple of 2624 and 2630

LCM of 2624 and 2630 is 3450560

Least common multiple can be found by multiplying the highest exponent prime factors of 2624 and 2630. First we will calculate the prime factors of 2624 and 2630.

Prime Factorization of 2624


2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 2624 are 2,41. Prime factorization of 2624 in exponential form is:

2624 = 26×411

Prime Factorization of 2630


2 2630
5 1315
263 263
1

Prime factors of 2630 are 2, 5,263. Prime factorization of 2630 in exponential form is:

2630 = 21×51×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 2624 and 2630.

LCM(2624,2630) = 26×51×411×2631
LCM(2624,2630) = 3450560

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624

Factors of 2630

List of positive integer factors of 2630 that divides 2630 without a remainder.

1, 2, 5, 10, 263, 526, 1315, 2630

Least Common Multiple of 2624 and 2630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2624 and 2630, than apply into the LCM equation.

GCF(2624,2630) = 2
LCM(2624,2630) = ( 2624 × 2630) / 2
LCM(2624,2630) = 6901120 / 2
LCM(2624,2630) = 3450560

Properties of LCM 2624 and 2630

(i) The LCM of 2630 and 2624 is associative

LCM of 2624 and 2630 = LCM of 2630 and 2624

Related Least Common Multiples of 2624

Related Least Common Multiples of 2630

Frequently Asked Questions on LCM of 2624 and 2630

1. What is the LCM of 2624 and 2630?

Answer: LCM of 2624 and 2630 is 3450560.

2. What are the Factors of 2624?

Answer: Factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624. There are 14 integers that are factors of 2624. The greatest factor of 2624 is 2624.

3. What are the Factors of 2630?

Answer: Factors of 2630 are 1, 2, 5, 10, 263, 526, 1315, 2630. There are 8 integers that are factors of 2630. The greatest factor of 2630 is 2630.

4. How to Find the LCM of 2624 and 2630?

Answer:

Least Common Multiple of 2624 and 2630 = 3450560

Step 1: Find the prime factorization of 2624

2624 = 2 x 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 2630

2630 = 2 x 5 x 263

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

LCM = 3450560 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 41 x 263

Step 4: Therefore, the least common multiple of 2624 and 2630 is 3450560.