Least Common Multiple of 2701 and 2708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2701 and 2708 the smallest integer that is 7314308 that is divisible by both numbers.

Least Common Multiple (LCM) of 2701 and 2708 is 7314308.

LCM(2701,2708) = 7314308

LCM of 2701 and 2708

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

LCM of:
and

Least Common Multiple of 2701 and 2708

LCM of 2701 and 2708 is 7314308

Least common multiple can be found by multiplying the highest exponent prime factors of 2701 and 2708. First we will calculate the prime factors of 2701 and 2708.

Prime Factorization of 2701


37 2701
73 73
1

Prime factors of 2701 are 37,73. Prime factorization of 2701 in exponential form is:

2701 = 371×731

Prime Factorization of 2708


2 2708
2 1354
677 677
1

Prime factors of 2708 are 2,677. Prime factorization of 2708 in exponential form is:

2708 = 22×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 2701 and 2708.

LCM(2701,2708) = 22×371×731×6771
LCM(2701,2708) = 7314308

Factors of 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1, 37, 73, 2701

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1, 2, 4, 677, 1354, 2708

Least Common Multiple of 2701 and 2708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2701 and 2708, than apply into the LCM equation.

GCF(2701,2708) = 1
LCM(2701,2708) = ( 2701 × 2708) / 1
LCM(2701,2708) = 7314308 / 1
LCM(2701,2708) = 7314308

Properties of LCM 2701 and 2708

(i) The LCM of 2708 and 2701 is associative

LCM of 2701 and 2708 = LCM of 2708 and 2701

Related Least Common Multiples of 2701

Related Least Common Multiples of 2708

Frequently Asked Questions on LCM of 2701 and 2708

1. What is the LCM of 2701 and 2708?

Answer: LCM of 2701 and 2708 is 7314308.

2. What are the Factors of 2701?

Answer: Factors of 2701 are 1, 37, 73, 2701. There are 4 integers that are factors of 2701. The greatest factor of 2701 is 2701.

3. What are the Factors of 2708?

Answer: Factors of 2708 are 1, 2, 4, 677, 1354, 2708. There are 6 integers that are factors of 2708. The greatest factor of 2708 is 2708.

4. How to Find the LCM of 2701 and 2708?

Answer:

Least Common Multiple of 2701 and 2708 = 7314308

Step 1: Find the prime factorization of 2701

2701 = 37 x 73

Step 2: Find the prime factorization of 2708

2708 = 2 x 2 x 677

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

LCM = 7314308 = 2 x 2 x 37 x 73 x 677

Step 4: Therefore, the least common multiple of 2701 and 2708 is 7314308.