Least Common Multiple of 2705 and 2713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2705 and 2713 the smallest integer that is 7338665 that is divisible by both numbers.

Least Common Multiple (LCM) of 2705 and 2713 is 7338665.

LCM(2705,2713) = 7338665

LCM of 2705 and 2713

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

LCM of:
and

Least Common Multiple of 2705 and 2713

LCM of 2705 and 2713 is 7338665

Least common multiple can be found by multiplying the highest exponent prime factors of 2705 and 2713. First we will calculate the prime factors of 2705 and 2713.

Prime Factorization of 2705


5 2705
541 541
1

Prime factors of 2705 are 5,541. Prime factorization of 2705 in exponential form is:

2705 = 51×5411

Prime Factorization of 2713


2713 2713
1

Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:

2713 = 27131

Now multiplying the highest exponent prime factors to calculate the LCM of 2705 and 2713.

LCM(2705,2713) = 51×5411×27131
LCM(2705,2713) = 7338665

Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1, 5, 541, 2705

Factors of 2713

List of positive integer factors of 2713 that divides 2713 without a remainder.

1, 2713

Least Common Multiple of 2705 and 2713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2705 and 2713, than apply into the LCM equation.

GCF(2705,2713) = 1
LCM(2705,2713) = ( 2705 × 2713) / 1
LCM(2705,2713) = 7338665 / 1
LCM(2705,2713) = 7338665

Properties of LCM 2705 and 2713

(i) The LCM of 2713 and 2705 is associative

LCM of 2705 and 2713 = LCM of 2713 and 2705

Related Least Common Multiples of 2705

Related Least Common Multiples of 2713

Frequently Asked Questions on LCM of 2705 and 2713

1. What is the LCM of 2705 and 2713?

Answer: LCM of 2705 and 2713 is 7338665.

2. What are the Factors of 2705?

Answer: Factors of 2705 are 1, 5, 541, 2705. There are 4 integers that are factors of 2705. The greatest factor of 2705 is 2705.

3. What are the Factors of 2713?

Answer: Factors of 2713 are 1, 2713. There are 2 integers that are factors of 2713. The greatest factor of 2713 is 2713.

4. How to Find the LCM of 2705 and 2713?

Answer:

Least Common Multiple of 2705 and 2713 = 7338665

Step 1: Find the prime factorization of 2705

2705 = 5 x 541

Step 2: Find the prime factorization of 2713

2713 = 2713

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

LCM = 7338665 = 5 x 541 x 2713

Step 4: Therefore, the least common multiple of 2705 and 2713 is 7338665.