Least Common Multiple of 5693 and 5699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5693 and 5699 the smallest integer that is 32444407 that is divisible by both numbers.

Least Common Multiple (LCM) of 5693 and 5699 is 32444407.

LCM(5693,5699) = 32444407

LCM of 5693 and 5699

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

LCM of:
and

Least Common Multiple of 5693 and 5699

LCM of 5693 and 5699 is 32444407

Least common multiple can be found by multiplying the highest exponent prime factors of 5693 and 5699. First we will calculate the prime factors of 5693 and 5699.

Prime Factorization of 5693


5693 5693
1

Prime factors of 5693 are 5693. Prime factorization of 5693 in exponential form is:

5693 = 56931

Prime Factorization of 5699


41 5699
139 139
1

Prime factors of 5699 are 41,139. Prime factorization of 5699 in exponential form is:

5699 = 411×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5693 and 5699.

LCM(5693,5699) = 411×1391×56931
LCM(5693,5699) = 32444407

Factors of 5693

List of positive integer factors of 5693 that divides 5693 without a remainder.

1, 5693

Factors of 5699

List of positive integer factors of 5699 that divides 5699 without a remainder.

1, 41, 139, 5699

Least Common Multiple of 5693 and 5699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5693 and 5699, than apply into the LCM equation.

GCF(5693,5699) = 1
LCM(5693,5699) = ( 5693 × 5699) / 1
LCM(5693,5699) = 32444407 / 1
LCM(5693,5699) = 32444407

Properties of LCM 5693 and 5699

(i) The LCM of 5699 and 5693 is associative

LCM of 5693 and 5699 = LCM of 5699 and 5693

Related Least Common Multiples of 5693

Related Least Common Multiples of 5699

Frequently Asked Questions on LCM of 5693 and 5699

1. What is the LCM of 5693 and 5699?

Answer: LCM of 5693 and 5699 is 32444407.

2. What are the Factors of 5693?

Answer: Factors of 5693 are 1, 5693. There are 2 integers that are factors of 5693. The greatest factor of 5693 is 5693.

3. What are the Factors of 5699?

Answer: Factors of 5699 are 1, 41, 139, 5699. There are 4 integers that are factors of 5699. The greatest factor of 5699 is 5699.

4. How to Find the LCM of 5693 and 5699?

Answer:

Least Common Multiple of 5693 and 5699 = 32444407

Step 1: Find the prime factorization of 5693

5693 = 5693

Step 2: Find the prime factorization of 5699

5699 = 41 x 139

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

LCM = 32444407 = 41 x 139 x 5693

Step 4: Therefore, the least common multiple of 5693 and 5699 is 32444407.