Least Common Multiple of 5664 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 5664 and 5670 the smallest integer that is 5352480 that is divisible by both numbers.

Least Common Multiple (LCM) of 5664 and 5670 is 5352480.

LCM(5664,5670) = 5352480

LCM of 5664 and 5670

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

LCM of:
and

Least Common Multiple of 5664 and 5670

LCM of 5664 and 5670 is 5352480

Least common multiple can be found by multiplying the highest exponent prime factors of 5664 and 5670. First we will calculate the prime factors of 5664 and 5670.

Prime Factorization of 5664


2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 5664 are 2, 3,59. Prime factorization of 5664 in exponential form is:

5664 = 25×31×591

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 5664 and 5670.

LCM(5664,5670) = 25×34×51×71×591
LCM(5664,5670) = 5352480

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664

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 5664 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 5664 and 5670, than apply into the LCM equation.

GCF(5664,5670) = 6
LCM(5664,5670) = ( 5664 × 5670) / 6
LCM(5664,5670) = 32114880 / 6
LCM(5664,5670) = 5352480

Properties of LCM 5664 and 5670

(i) The LCM of 5670 and 5664 is associative

LCM of 5664 and 5670 = LCM of 5670 and 5664

Related Least Common Multiples of 5664

Related Least Common Multiples of 5670

Frequently Asked Questions on LCM of 5664 and 5670

1. What is the LCM of 5664 and 5670?

Answer: LCM of 5664 and 5670 is 5352480.

2. What are the Factors of 5664?

Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.

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 5664 and 5670?

Answer:

Least Common Multiple of 5664 and 5670 = 5352480

Step 1: Find the prime factorization of 5664

5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59

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 = 5352480 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 5664 and 5670 is 5352480.