Least Common Multiple of 2601 and 2608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2601 and 2608 the smallest integer that is 6783408 that is divisible by both numbers.

Least Common Multiple (LCM) of 2601 and 2608 is 6783408.

LCM(2601,2608) = 6783408

LCM of 2601 and 2608

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

LCM of:
and

Least Common Multiple of 2601 and 2608

LCM of 2601 and 2608 is 6783408

Least common multiple can be found by multiplying the highest exponent prime factors of 2601 and 2608. First we will calculate the prime factors of 2601 and 2608.

Prime Factorization of 2601


3 2601
3 867
17 289
17 17
1

Prime factors of 2601 are 3,17. Prime factorization of 2601 in exponential form is:

2601 = 32×172

Prime Factorization of 2608


2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 2608 are 2,163. Prime factorization of 2608 in exponential form is:

2608 = 24×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2601 and 2608.

LCM(2601,2608) = 24×32×172×1631
LCM(2601,2608) = 6783408

Factors of 2601

List of positive integer factors of 2601 that divides 2601 without a remainder.

1, 3, 9, 17, 51, 153, 289, 867, 2601

Factors of 2608

List of positive integer factors of 2608 that divides 2608 without a remainder.

1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608

Least Common Multiple of 2601 and 2608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2601 and 2608, than apply into the LCM equation.

GCF(2601,2608) = 1
LCM(2601,2608) = ( 2601 × 2608) / 1
LCM(2601,2608) = 6783408 / 1
LCM(2601,2608) = 6783408

Properties of LCM 2601 and 2608

(i) The LCM of 2608 and 2601 is associative

LCM of 2601 and 2608 = LCM of 2608 and 2601

Related Least Common Multiples of 2601

Related Least Common Multiples of 2608

Frequently Asked Questions on LCM of 2601 and 2608

1. What is the LCM of 2601 and 2608?

Answer: LCM of 2601 and 2608 is 6783408.

2. What are the Factors of 2601?

Answer: Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601. There are 9 integers that are factors of 2601. The greatest factor of 2601 is 2601.

3. What are the Factors of 2608?

Answer: Factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608. There are 10 integers that are factors of 2608. The greatest factor of 2608 is 2608.

4. How to Find the LCM of 2601 and 2608?

Answer:

Least Common Multiple of 2601 and 2608 = 6783408

Step 1: Find the prime factorization of 2601

2601 = 3 x 3 x 17 x 17

Step 2: Find the prime factorization of 2608

2608 = 2 x 2 x 2 x 2 x 163

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

LCM = 6783408 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 17 x 163

Step 4: Therefore, the least common multiple of 2601 and 2608 is 6783408.