Least Common Multiple of 5673 and 5678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5673 and 5678 the smallest integer that is 32211294 that is divisible by both numbers.

Least Common Multiple (LCM) of 5673 and 5678 is 32211294.

LCM(5673,5678) = 32211294

LCM of 5673 and 5678

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

LCM of:
and

Least Common Multiple of 5673 and 5678

LCM of 5673 and 5678 is 32211294

Least common multiple can be found by multiplying the highest exponent prime factors of 5673 and 5678. First we will calculate the prime factors of 5673 and 5678.

Prime Factorization of 5673


3 5673
31 1891
61 61
1

Prime factors of 5673 are 3, 31,61. Prime factorization of 5673 in exponential form is:

5673 = 31×311×611

Prime Factorization of 5678


2 5678
17 2839
167 167
1

Prime factors of 5678 are 2, 17,167. Prime factorization of 5678 in exponential form is:

5678 = 21×171×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5673 and 5678.

LCM(5673,5678) = 21×31×171×311×611×1671
LCM(5673,5678) = 32211294

Factors of 5673

List of positive integer factors of 5673 that divides 5673 without a remainder.

1, 3, 31, 61, 93, 183, 1891, 5673

Factors of 5678

List of positive integer factors of 5678 that divides 5678 without a remainder.

1, 2, 17, 34, 167, 334, 2839, 5678

Least Common Multiple of 5673 and 5678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5673 and 5678, than apply into the LCM equation.

GCF(5673,5678) = 1
LCM(5673,5678) = ( 5673 × 5678) / 1
LCM(5673,5678) = 32211294 / 1
LCM(5673,5678) = 32211294

Properties of LCM 5673 and 5678

(i) The LCM of 5678 and 5673 is associative

LCM of 5673 and 5678 = LCM of 5678 and 5673

Related Least Common Multiples of 5673

Related Least Common Multiples of 5678

Frequently Asked Questions on LCM of 5673 and 5678

1. What is the LCM of 5673 and 5678?

Answer: LCM of 5673 and 5678 is 32211294.

2. What are the Factors of 5673?

Answer: Factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673. There are 8 integers that are factors of 5673. The greatest factor of 5673 is 5673.

3. What are the Factors of 5678?

Answer: Factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678. There are 8 integers that are factors of 5678. The greatest factor of 5678 is 5678.

4. How to Find the LCM of 5673 and 5678?

Answer:

Least Common Multiple of 5673 and 5678 = 32211294

Step 1: Find the prime factorization of 5673

5673 = 3 x 31 x 61

Step 2: Find the prime factorization of 5678

5678 = 2 x 17 x 167

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

LCM = 32211294 = 2 x 3 x 17 x 31 x 61 x 167

Step 4: Therefore, the least common multiple of 5673 and 5678 is 32211294.