Least Common Multiple of 1672 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 1672 and 1678 the smallest integer that is 1402808 that is divisible by both numbers.

Least Common Multiple (LCM) of 1672 and 1678 is 1402808.

LCM(1672,1678) = 1402808

LCM of 1672 and 1678

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

LCM of:
and

Least Common Multiple of 1672 and 1678

LCM of 1672 and 1678 is 1402808

Least common multiple can be found by multiplying the highest exponent prime factors of 1672 and 1678. First we will calculate the prime factors of 1672 and 1678.

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 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 1672 and 1678.

LCM(1672,1678) = 23×111×191×8391
LCM(1672,1678) = 1402808

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 1678

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

1, 2, 839, 1678

Least Common Multiple of 1672 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 1672 and 1678, than apply into the LCM equation.

GCF(1672,1678) = 2
LCM(1672,1678) = ( 1672 × 1678) / 2
LCM(1672,1678) = 2805616 / 2
LCM(1672,1678) = 1402808

Properties of LCM 1672 and 1678

(i) The LCM of 1678 and 1672 is associative

LCM of 1672 and 1678 = LCM of 1678 and 1672

Related Least Common Multiples of 1672

Related Least Common Multiples of 1678

Frequently Asked Questions on LCM of 1672 and 1678

1. What is the LCM of 1672 and 1678?

Answer: LCM of 1672 and 1678 is 1402808.

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 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 1672 and 1678?

Answer:

Least Common Multiple of 1672 and 1678 = 1402808

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 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 = 1402808 = 2 x 2 x 2 x 11 x 19 x 839

Step 4: Therefore, the least common multiple of 1672 and 1678 is 1402808.