Least Common Multiple of 1676 and 1682

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 1682 the smallest integer that is 1409516 that is divisible by both numbers.

Least Common Multiple (LCM) of 1676 and 1682 is 1409516.

LCM(1676,1682) = 1409516

LCM of 1676 and 1682

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

LCM of:
and

Least Common Multiple of 1676 and 1682

LCM of 1676 and 1682 is 1409516

Least common multiple can be found by multiplying the highest exponent prime factors of 1676 and 1682. First we will calculate the prime factors of 1676 and 1682.

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 1682


2 1682
29 841
29 29
1

Prime factors of 1682 are 2,29. Prime factorization of 1682 in exponential form is:

1682 = 21×292

Now multiplying the highest exponent prime factors to calculate the LCM of 1676 and 1682.

LCM(1676,1682) = 22×292×4191
LCM(1676,1682) = 1409516

Factors of 1676

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

1, 2, 4, 419, 838, 1676

Factors of 1682

List of positive integer factors of 1682 that divides 1682 without a remainder.

1, 2, 29, 58, 841, 1682

Least Common Multiple of 1676 and 1682 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 1682, than apply into the LCM equation.

GCF(1676,1682) = 2
LCM(1676,1682) = ( 1676 × 1682) / 2
LCM(1676,1682) = 2819032 / 2
LCM(1676,1682) = 1409516

Properties of LCM 1676 and 1682

(i) The LCM of 1682 and 1676 is associative

LCM of 1676 and 1682 = LCM of 1682 and 1676

Related Least Common Multiples of 1676

Related Least Common Multiples of 1682

Frequently Asked Questions on LCM of 1676 and 1682

1. What is the LCM of 1676 and 1682?

Answer: LCM of 1676 and 1682 is 1409516.

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 1682?

Answer: Factors of 1682 are 1, 2, 29, 58, 841, 1682. There are 6 integers that are factors of 1682. The greatest factor of 1682 is 1682.

4. How to Find the LCM of 1676 and 1682?

Answer:

Least Common Multiple of 1676 and 1682 = 1409516

Step 1: Find the prime factorization of 1676

1676 = 2 x 2 x 419

Step 2: Find the prime factorization of 1682

1682 = 2 x 29 x 29

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

LCM = 1409516 = 2 x 2 x 29 x 29 x 419

Step 4: Therefore, the least common multiple of 1676 and 1682 is 1409516.