Least Common Multiple of 1672 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 1672 and 1677 the smallest integer that is 2803944 that is divisible by both numbers.

Least Common Multiple (LCM) of 1672 and 1677 is 2803944.

LCM(1672,1677) = 2803944

LCM of 1672 and 1677

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

LCM of:
and

Least Common Multiple of 1672 and 1677

LCM of 1672 and 1677 is 2803944

Least common multiple can be found by multiplying the highest exponent prime factors of 1672 and 1677. First we will calculate the prime factors of 1672 and 1677.

Prime Factorization of 1672


2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 1672 are 2, 11,19. Prime factorization of 1672 in exponential form is:

1672 = 23×111×191

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 1672 and 1677.

LCM(1672,1677) = 23×31×111×131×191×431
LCM(1672,1677) = 2803944

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672

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 1672 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 1672 and 1677, than apply into the LCM equation.

GCF(1672,1677) = 1
LCM(1672,1677) = ( 1672 × 1677) / 1
LCM(1672,1677) = 2803944 / 1
LCM(1672,1677) = 2803944

Properties of LCM 1672 and 1677

(i) The LCM of 1677 and 1672 is associative

LCM of 1672 and 1677 = LCM of 1677 and 1672

Related Least Common Multiples of 1672

Related Least Common Multiples of 1677

Frequently Asked Questions on LCM of 1672 and 1677

1. What is the LCM of 1672 and 1677?

Answer: LCM of 1672 and 1677 is 2803944.

2. What are the Factors of 1672?

Answer: Factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672. There are 16 integers that are factors of 1672. The greatest factor of 1672 is 1672.

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 1672 and 1677?

Answer:

Least Common Multiple of 1672 and 1677 = 2803944

Step 1: Find the prime factorization of 1672

1672 = 2 x 2 x 2 x 11 x 19

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 = 2803944 = 2 x 2 x 2 x 3 x 11 x 13 x 19 x 43

Step 4: Therefore, the least common multiple of 1672 and 1677 is 2803944.