Least Common Multiple of 5633 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 5633 and 5640 the smallest integer that is 31770120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5633 and 5640 is 31770120.

LCM(5633,5640) = 31770120

LCM of 5633 and 5640

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

LCM of:
and

Least Common Multiple of 5633 and 5640

LCM of 5633 and 5640 is 31770120

Least common multiple can be found by multiplying the highest exponent prime factors of 5633 and 5640. First we will calculate the prime factors of 5633 and 5640.

Prime Factorization of 5633


43 5633
131 131
1

Prime factors of 5633 are 43,131. Prime factorization of 5633 in exponential form is:

5633 = 431×1311

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 5633 and 5640.

LCM(5633,5640) = 23×31×51×431×471×1311
LCM(5633,5640) = 31770120

Factors of 5633

List of positive integer factors of 5633 that divides 5633 without a remainder.

1, 43, 131, 5633

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 5633 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 5633 and 5640, than apply into the LCM equation.

GCF(5633,5640) = 1
LCM(5633,5640) = ( 5633 × 5640) / 1
LCM(5633,5640) = 31770120 / 1
LCM(5633,5640) = 31770120

Properties of LCM 5633 and 5640

(i) The LCM of 5640 and 5633 is associative

LCM of 5633 and 5640 = LCM of 5640 and 5633

Related Least Common Multiples of 5633

Related Least Common Multiples of 5640

Frequently Asked Questions on LCM of 5633 and 5640

1. What is the LCM of 5633 and 5640?

Answer: LCM of 5633 and 5640 is 31770120.

2. What are the Factors of 5633?

Answer: Factors of 5633 are 1, 43, 131, 5633. There are 4 integers that are factors of 5633. The greatest factor of 5633 is 5633.

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 5633 and 5640?

Answer:

Least Common Multiple of 5633 and 5640 = 31770120

Step 1: Find the prime factorization of 5633

5633 = 43 x 131

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 = 31770120 = 2 x 2 x 2 x 3 x 5 x 43 x 47 x 131

Step 4: Therefore, the least common multiple of 5633 and 5640 is 31770120.