Least Common Multiple of 2762 and 2770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2762 and 2770 the smallest integer that is 3825370 that is divisible by both numbers.

Least Common Multiple (LCM) of 2762 and 2770 is 3825370.

LCM(2762,2770) = 3825370

LCM of 2762 and 2770

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

LCM of:
and

Least Common Multiple of 2762 and 2770

LCM of 2762 and 2770 is 3825370

Least common multiple can be found by multiplying the highest exponent prime factors of 2762 and 2770. First we will calculate the prime factors of 2762 and 2770.

Prime Factorization of 2762


2 2762
1381 1381
1

Prime factors of 2762 are 2,1381. Prime factorization of 2762 in exponential form is:

2762 = 21×13811

Prime Factorization of 2770


2 2770
5 1385
277 277
1

Prime factors of 2770 are 2, 5,277. Prime factorization of 2770 in exponential form is:

2770 = 21×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 2762 and 2770.

LCM(2762,2770) = 21×51×2771×13811
LCM(2762,2770) = 3825370

Factors of 2762

List of positive integer factors of 2762 that divides 2762 without a remainder.

1, 2, 1381, 2762

Factors of 2770

List of positive integer factors of 2770 that divides 2770 without a remainder.

1, 2, 5, 10, 277, 554, 1385, 2770

Least Common Multiple of 2762 and 2770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2762 and 2770, than apply into the LCM equation.

GCF(2762,2770) = 2
LCM(2762,2770) = ( 2762 × 2770) / 2
LCM(2762,2770) = 7650740 / 2
LCM(2762,2770) = 3825370

Properties of LCM 2762 and 2770

(i) The LCM of 2770 and 2762 is associative

LCM of 2762 and 2770 = LCM of 2770 and 2762

Related Least Common Multiples of 2762

Related Least Common Multiples of 2770

Frequently Asked Questions on LCM of 2762 and 2770

1. What is the LCM of 2762 and 2770?

Answer: LCM of 2762 and 2770 is 3825370.

2. What are the Factors of 2762?

Answer: Factors of 2762 are 1, 2, 1381, 2762. There are 4 integers that are factors of 2762. The greatest factor of 2762 is 2762.

3. What are the Factors of 2770?

Answer: Factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770. There are 8 integers that are factors of 2770. The greatest factor of 2770 is 2770.

4. How to Find the LCM of 2762 and 2770?

Answer:

Least Common Multiple of 2762 and 2770 = 3825370

Step 1: Find the prime factorization of 2762

2762 = 2 x 1381

Step 2: Find the prime factorization of 2770

2770 = 2 x 5 x 277

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

LCM = 3825370 = 2 x 5 x 277 x 1381

Step 4: Therefore, the least common multiple of 2762 and 2770 is 3825370.