Least Common Multiple of 1678 and 1681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1678 and 1681 the smallest integer that is 2820718 that is divisible by both numbers.

Least Common Multiple (LCM) of 1678 and 1681 is 2820718.

LCM(1678,1681) = 2820718

LCM of 1678 and 1681

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

LCM of:
and

Least Common Multiple of 1678 and 1681

LCM of 1678 and 1681 is 2820718

Least common multiple can be found by multiplying the highest exponent prime factors of 1678 and 1681. First we will calculate the prime factors of 1678 and 1681.

Prime Factorization of 1678


2 1678
839 839
1

Prime factors of 1678 are 2,839. Prime factorization of 1678 in exponential form is:

1678 = 21×8391

Prime Factorization of 1681


41 1681
41 41
1

Prime factors of 1681 are 41. Prime factorization of 1681 in exponential form is:

1681 = 412

Now multiplying the highest exponent prime factors to calculate the LCM of 1678 and 1681.

LCM(1678,1681) = 21×412×8391
LCM(1678,1681) = 2820718

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1, 2, 839, 1678

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1, 41, 1681

Least Common Multiple of 1678 and 1681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1678 and 1681, than apply into the LCM equation.

GCF(1678,1681) = 1
LCM(1678,1681) = ( 1678 × 1681) / 1
LCM(1678,1681) = 2820718 / 1
LCM(1678,1681) = 2820718

Properties of LCM 1678 and 1681

(i) The LCM of 1681 and 1678 is associative

LCM of 1678 and 1681 = LCM of 1681 and 1678

Related Least Common Multiples of 1678

Related Least Common Multiples of 1681

Frequently Asked Questions on LCM of 1678 and 1681

1. What is the LCM of 1678 and 1681?

Answer: LCM of 1678 and 1681 is 2820718.

2. What are the Factors of 1678?

Answer: Factors of 1678 are 1, 2, 839, 1678. There are 4 integers that are factors of 1678. The greatest factor of 1678 is 1678.

3. What are the Factors of 1681?

Answer: Factors of 1681 are 1, 41, 1681. There are 3 integers that are factors of 1681. The greatest factor of 1681 is 1681.

4. How to Find the LCM of 1678 and 1681?

Answer:

Least Common Multiple of 1678 and 1681 = 2820718

Step 1: Find the prime factorization of 1678

1678 = 2 x 839

Step 2: Find the prime factorization of 1681

1681 = 41 x 41

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

LCM = 2820718 = 2 x 41 x 41 x 839

Step 4: Therefore, the least common multiple of 1678 and 1681 is 2820718.