Least Common Multiple of 1671 and 1677

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 1677 the smallest integer that is 934089 that is divisible by both numbers.

Least Common Multiple (LCM) of 1671 and 1677 is 934089.

LCM(1671,1677) = 934089

LCM of 1671 and 1677

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

LCM of:
and

Least Common Multiple of 1671 and 1677

LCM of 1671 and 1677 is 934089

Least common multiple can be found by multiplying the highest exponent prime factors of 1671 and 1677. First we will calculate the prime factors of 1671 and 1677.

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 1677


3 1677
13 559
43 43
1

Prime factors of 1677 are 3, 13,43. Prime factorization of 1677 in exponential form is:

1677 = 31×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1671 and 1677.

LCM(1671,1677) = 31×131×431×5571
LCM(1671,1677) = 934089

Factors of 1671

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

1, 3, 557, 1671

Factors of 1677

List of positive integer factors of 1677 that divides 1677 without a remainder.

1, 3, 13, 39, 43, 129, 559, 1677

Least Common Multiple of 1671 and 1677 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 1677, than apply into the LCM equation.

GCF(1671,1677) = 3
LCM(1671,1677) = ( 1671 × 1677) / 3
LCM(1671,1677) = 2802267 / 3
LCM(1671,1677) = 934089

Properties of LCM 1671 and 1677

(i) The LCM of 1677 and 1671 is associative

LCM of 1671 and 1677 = LCM of 1677 and 1671

Related Least Common Multiples of 1671

Related Least Common Multiples of 1677

Frequently Asked Questions on LCM of 1671 and 1677

1. What is the LCM of 1671 and 1677?

Answer: LCM of 1671 and 1677 is 934089.

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 1677?

Answer: Factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677. There are 8 integers that are factors of 1677. The greatest factor of 1677 is 1677.

4. How to Find the LCM of 1671 and 1677?

Answer:

Least Common Multiple of 1671 and 1677 = 934089

Step 1: Find the prime factorization of 1671

1671 = 3 x 557

Step 2: Find the prime factorization of 1677

1677 = 3 x 13 x 43

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

LCM = 934089 = 3 x 13 x 43 x 557

Step 4: Therefore, the least common multiple of 1671 and 1677 is 934089.