Least Common Multiple of 5634 and 5640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5634 and 5640 the smallest integer that is 5295960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5634 and 5640 is 5295960.

LCM(5634,5640) = 5295960

LCM of 5634 and 5640

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

LCM of:
and

Least Common Multiple of 5634 and 5640

LCM of 5634 and 5640 is 5295960

Least common multiple can be found by multiplying the highest exponent prime factors of 5634 and 5640. First we will calculate the prime factors of 5634 and 5640.

Prime Factorization of 5634


2 5634
3 2817
3 939
313 313
1

Prime factors of 5634 are 2, 3,313. Prime factorization of 5634 in exponential form is:

5634 = 21×32×3131

Prime Factorization of 5640


2 5640
2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 5640 are 2, 3, 5,47. Prime factorization of 5640 in exponential form is:

5640 = 23×31×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5634 and 5640.

LCM(5634,5640) = 23×32×51×471×3131
LCM(5634,5640) = 5295960

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640

Least Common Multiple of 5634 and 5640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5634 and 5640, than apply into the LCM equation.

GCF(5634,5640) = 6
LCM(5634,5640) = ( 5634 × 5640) / 6
LCM(5634,5640) = 31775760 / 6
LCM(5634,5640) = 5295960

Properties of LCM 5634 and 5640

(i) The LCM of 5640 and 5634 is associative

LCM of 5634 and 5640 = LCM of 5640 and 5634

Related Least Common Multiples of 5634

Related Least Common Multiples of 5640

Frequently Asked Questions on LCM of 5634 and 5640

1. What is the LCM of 5634 and 5640?

Answer: LCM of 5634 and 5640 is 5295960.

2. What are the Factors of 5634?

Answer: Factors of 5634 are 1, 2, 3, 6, 9, 18, 313, 626, 939, 1878, 2817, 5634. There are 12 integers that are factors of 5634. The greatest factor of 5634 is 5634.

3. What are the Factors of 5640?

Answer: Factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640. There are 32 integers that are factors of 5640. The greatest factor of 5640 is 5640.

4. How to Find the LCM of 5634 and 5640?

Answer:

Least Common Multiple of 5634 and 5640 = 5295960

Step 1: Find the prime factorization of 5634

5634 = 2 x 3 x 3 x 313

Step 2: Find the prime factorization of 5640

5640 = 2 x 2 x 2 x 3 x 5 x 47

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

LCM = 5295960 = 2 x 2 x 2 x 3 x 3 x 5 x 47 x 313

Step 4: Therefore, the least common multiple of 5634 and 5640 is 5295960.