Least Common Multiple of 1674 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 1674 and 1681 the smallest integer that is 2813994 that is divisible by both numbers.

Least Common Multiple (LCM) of 1674 and 1681 is 2813994.

LCM(1674,1681) = 2813994

LCM of 1674 and 1681

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

LCM of:
and

Least Common Multiple of 1674 and 1681

LCM of 1674 and 1681 is 2813994

Least common multiple can be found by multiplying the highest exponent prime factors of 1674 and 1681. First we will calculate the prime factors of 1674 and 1681.

Prime Factorization of 1674


2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 1674 are 2, 3,31. Prime factorization of 1674 in exponential form is:

1674 = 21×33×311

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 1674 and 1681.

LCM(1674,1681) = 21×33×311×412
LCM(1674,1681) = 2813994

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674

Factors of 1681

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

1, 41, 1681

Least Common Multiple of 1674 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 1674 and 1681, than apply into the LCM equation.

GCF(1674,1681) = 1
LCM(1674,1681) = ( 1674 × 1681) / 1
LCM(1674,1681) = 2813994 / 1
LCM(1674,1681) = 2813994

Properties of LCM 1674 and 1681

(i) The LCM of 1681 and 1674 is associative

LCM of 1674 and 1681 = LCM of 1681 and 1674

Related Least Common Multiples of 1674

Related Least Common Multiples of 1681

Frequently Asked Questions on LCM of 1674 and 1681

1. What is the LCM of 1674 and 1681?

Answer: LCM of 1674 and 1681 is 2813994.

2. What are the Factors of 1674?

Answer: Factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674. There are 16 integers that are factors of 1674. The greatest factor of 1674 is 1674.

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 1674 and 1681?

Answer:

Least Common Multiple of 1674 and 1681 = 2813994

Step 1: Find the prime factorization of 1674

1674 = 2 x 3 x 3 x 3 x 31

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 = 2813994 = 2 x 3 x 3 x 3 x 31 x 41 x 41

Step 4: Therefore, the least common multiple of 1674 and 1681 is 2813994.