Least Common Multiple of 5663 and 5670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5663 and 5670 the smallest integer that is 4587030 that is divisible by both numbers.

Least Common Multiple (LCM) of 5663 and 5670 is 4587030.

LCM(5663,5670) = 4587030

LCM of 5663 and 5670

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

LCM of:
and

Least Common Multiple of 5663 and 5670

LCM of 5663 and 5670 is 4587030

Least common multiple can be found by multiplying the highest exponent prime factors of 5663 and 5670. First we will calculate the prime factors of 5663 and 5670.

Prime Factorization of 5663


7 5663
809 809
1

Prime factors of 5663 are 7,809. Prime factorization of 5663 in exponential form is:

5663 = 71×8091

Prime Factorization of 5670


2 5670
3 2835
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 5670 are 2, 3, 5,7. Prime factorization of 5670 in exponential form is:

5670 = 21×34×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5663 and 5670.

LCM(5663,5670) = 21×34×51×71×8091
LCM(5663,5670) = 4587030

Factors of 5663

List of positive integer factors of 5663 that divides 5663 without a remainder.

1, 7, 809, 5663

Factors of 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670

Least Common Multiple of 5663 and 5670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5663 and 5670, than apply into the LCM equation.

GCF(5663,5670) = 7
LCM(5663,5670) = ( 5663 × 5670) / 7
LCM(5663,5670) = 32109210 / 7
LCM(5663,5670) = 4587030

Properties of LCM 5663 and 5670

(i) The LCM of 5670 and 5663 is associative

LCM of 5663 and 5670 = LCM of 5670 and 5663

Related Least Common Multiples of 5663

Related Least Common Multiples of 5670

Frequently Asked Questions on LCM of 5663 and 5670

1. What is the LCM of 5663 and 5670?

Answer: LCM of 5663 and 5670 is 4587030.

2. What are the Factors of 5663?

Answer: Factors of 5663 are 1, 7, 809, 5663. There are 4 integers that are factors of 5663. The greatest factor of 5663 is 5663.

3. What are the Factors of 5670?

Answer: Factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670. There are 40 integers that are factors of 5670. The greatest factor of 5670 is 5670.

4. How to Find the LCM of 5663 and 5670?

Answer:

Least Common Multiple of 5663 and 5670 = 4587030

Step 1: Find the prime factorization of 5663

5663 = 7 x 809

Step 2: Find the prime factorization of 5670

5670 = 2 x 3 x 3 x 3 x 3 x 5 x 7

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

LCM = 4587030 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 809

Step 4: Therefore, the least common multiple of 5663 and 5670 is 4587030.