Least Common Multiple of 5647 and 5652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5647 and 5652 the smallest integer that is 31916844 that is divisible by both numbers.

Least Common Multiple (LCM) of 5647 and 5652 is 31916844.

LCM(5647,5652) = 31916844

LCM of 5647 and 5652

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

LCM of:
and

Least Common Multiple of 5647 and 5652

LCM of 5647 and 5652 is 31916844

Least common multiple can be found by multiplying the highest exponent prime factors of 5647 and 5652. First we will calculate the prime factors of 5647 and 5652.

Prime Factorization of 5647


5647 5647
1

Prime factors of 5647 are 5647. Prime factorization of 5647 in exponential form is:

5647 = 56471

Prime Factorization of 5652


2 5652
2 2826
3 1413
3 471
157 157
1

Prime factors of 5652 are 2, 3,157. Prime factorization of 5652 in exponential form is:

5652 = 22×32×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5647 and 5652.

LCM(5647,5652) = 22×32×1571×56471
LCM(5647,5652) = 31916844

Factors of 5647

List of positive integer factors of 5647 that divides 5647 without a remainder.

1, 5647

Factors of 5652

List of positive integer factors of 5652 that divides 5652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652

Least Common Multiple of 5647 and 5652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5647 and 5652, than apply into the LCM equation.

GCF(5647,5652) = 1
LCM(5647,5652) = ( 5647 × 5652) / 1
LCM(5647,5652) = 31916844 / 1
LCM(5647,5652) = 31916844

Properties of LCM 5647 and 5652

(i) The LCM of 5652 and 5647 is associative

LCM of 5647 and 5652 = LCM of 5652 and 5647

Related Least Common Multiples of 5647

Related Least Common Multiples of 5652

Frequently Asked Questions on LCM of 5647 and 5652

1. What is the LCM of 5647 and 5652?

Answer: LCM of 5647 and 5652 is 31916844.

2. What are the Factors of 5647?

Answer: Factors of 5647 are 1, 5647. There are 2 integers that are factors of 5647. The greatest factor of 5647 is 5647.

3. What are the Factors of 5652?

Answer: Factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652. There are 18 integers that are factors of 5652. The greatest factor of 5652 is 5652.

4. How to Find the LCM of 5647 and 5652?

Answer:

Least Common Multiple of 5647 and 5652 = 31916844

Step 1: Find the prime factorization of 5647

5647 = 5647

Step 2: Find the prime factorization of 5652

5652 = 2 x 2 x 3 x 3 x 157

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

LCM = 31916844 = 2 x 2 x 3 x 3 x 157 x 5647

Step 4: Therefore, the least common multiple of 5647 and 5652 is 31916844.