Least Common Multiple of 1671 and 1678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1671 and 1678 the smallest integer that is 2803938 that is divisible by both numbers.

Least Common Multiple (LCM) of 1671 and 1678 is 2803938.

LCM(1671,1678) = 2803938

LCM of 1671 and 1678

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

LCM of:
and

Least Common Multiple of 1671 and 1678

LCM of 1671 and 1678 is 2803938

Least common multiple can be found by multiplying the highest exponent prime factors of 1671 and 1678. First we will calculate the prime factors of 1671 and 1678.

Prime Factorization of 1671


3 1671
557 557
1

Prime factors of 1671 are 3,557. Prime factorization of 1671 in exponential form is:

1671 = 31×5571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1671 and 1678.

LCM(1671,1678) = 21×31×5571×8391
LCM(1671,1678) = 2803938

Factors of 1671

List of positive integer factors of 1671 that divides 1671 without a remainder.

1, 3, 557, 1671

Factors of 1678

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

1, 2, 839, 1678

Least Common Multiple of 1671 and 1678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1671 and 1678, than apply into the LCM equation.

GCF(1671,1678) = 1
LCM(1671,1678) = ( 1671 × 1678) / 1
LCM(1671,1678) = 2803938 / 1
LCM(1671,1678) = 2803938

Properties of LCM 1671 and 1678

(i) The LCM of 1678 and 1671 is associative

LCM of 1671 and 1678 = LCM of 1678 and 1671

Related Least Common Multiples of 1671

Related Least Common Multiples of 1678

Frequently Asked Questions on LCM of 1671 and 1678

1. What is the LCM of 1671 and 1678?

Answer: LCM of 1671 and 1678 is 2803938.

2. What are the Factors of 1671?

Answer: Factors of 1671 are 1, 3, 557, 1671. There are 4 integers that are factors of 1671. The greatest factor of 1671 is 1671.

3. 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.

4. How to Find the LCM of 1671 and 1678?

Answer:

Least Common Multiple of 1671 and 1678 = 2803938

Step 1: Find the prime factorization of 1671

1671 = 3 x 557

Step 2: Find the prime factorization of 1678

1678 = 2 x 839

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

LCM = 2803938 = 2 x 3 x 557 x 839

Step 4: Therefore, the least common multiple of 1671 and 1678 is 2803938.