Least Common Multiple of 1676 and 1683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1676 and 1683 the smallest integer that is 2820708 that is divisible by both numbers.

Least Common Multiple (LCM) of 1676 and 1683 is 2820708.

LCM(1676,1683) = 2820708

LCM of 1676 and 1683

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

LCM of:
and

Least Common Multiple of 1676 and 1683

LCM of 1676 and 1683 is 2820708

Least common multiple can be found by multiplying the highest exponent prime factors of 1676 and 1683. First we will calculate the prime factors of 1676 and 1683.

Prime Factorization of 1676


2 1676
2 838
419 419
1

Prime factors of 1676 are 2,419. Prime factorization of 1676 in exponential form is:

1676 = 22×4191

Prime Factorization of 1683


3 1683
3 561
11 187
17 17
1

Prime factors of 1683 are 3, 11,17. Prime factorization of 1683 in exponential form is:

1683 = 32×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1676 and 1683.

LCM(1676,1683) = 22×32×111×171×4191
LCM(1676,1683) = 2820708

Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1, 2, 4, 419, 838, 1676

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683

Least Common Multiple of 1676 and 1683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1676 and 1683, than apply into the LCM equation.

GCF(1676,1683) = 1
LCM(1676,1683) = ( 1676 × 1683) / 1
LCM(1676,1683) = 2820708 / 1
LCM(1676,1683) = 2820708

Properties of LCM 1676 and 1683

(i) The LCM of 1683 and 1676 is associative

LCM of 1676 and 1683 = LCM of 1683 and 1676

Related Least Common Multiples of 1676

Related Least Common Multiples of 1683

Frequently Asked Questions on LCM of 1676 and 1683

1. What is the LCM of 1676 and 1683?

Answer: LCM of 1676 and 1683 is 2820708.

2. What are the Factors of 1676?

Answer: Factors of 1676 are 1, 2, 4, 419, 838, 1676. There are 6 integers that are factors of 1676. The greatest factor of 1676 is 1676.

3. What are the Factors of 1683?

Answer: Factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683. There are 12 integers that are factors of 1683. The greatest factor of 1683 is 1683.

4. How to Find the LCM of 1676 and 1683?

Answer:

Least Common Multiple of 1676 and 1683 = 2820708

Step 1: Find the prime factorization of 1676

1676 = 2 x 2 x 419

Step 2: Find the prime factorization of 1683

1683 = 3 x 3 x 11 x 17

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

LCM = 2820708 = 2 x 2 x 3 x 3 x 11 x 17 x 419

Step 4: Therefore, the least common multiple of 1676 and 1683 is 2820708.