Least Common Multiple of 5652 and 5659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5652 and 5659 the smallest integer that is 31984668 that is divisible by both numbers.

Least Common Multiple (LCM) of 5652 and 5659 is 31984668.

LCM(5652,5659) = 31984668

LCM of 5652 and 5659

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

LCM of:
and

Least Common Multiple of 5652 and 5659

LCM of 5652 and 5659 is 31984668

Least common multiple can be found by multiplying the highest exponent prime factors of 5652 and 5659. First we will calculate the prime factors of 5652 and 5659.

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

Prime Factorization of 5659


5659 5659
1

Prime factors of 5659 are 5659. Prime factorization of 5659 in exponential form is:

5659 = 56591

Now multiplying the highest exponent prime factors to calculate the LCM of 5652 and 5659.

LCM(5652,5659) = 22×32×1571×56591
LCM(5652,5659) = 31984668

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

Factors of 5659

List of positive integer factors of 5659 that divides 5659 without a remainder.

1, 5659

Least Common Multiple of 5652 and 5659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5652 and 5659, than apply into the LCM equation.

GCF(5652,5659) = 1
LCM(5652,5659) = ( 5652 × 5659) / 1
LCM(5652,5659) = 31984668 / 1
LCM(5652,5659) = 31984668

Properties of LCM 5652 and 5659

(i) The LCM of 5659 and 5652 is associative

LCM of 5652 and 5659 = LCM of 5659 and 5652

Related Least Common Multiples of 5652

Related Least Common Multiples of 5659

Frequently Asked Questions on LCM of 5652 and 5659

1. What is the LCM of 5652 and 5659?

Answer: LCM of 5652 and 5659 is 31984668.

2. 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.

3. What are the Factors of 5659?

Answer: Factors of 5659 are 1, 5659. There are 2 integers that are factors of 5659. The greatest factor of 5659 is 5659.

4. How to Find the LCM of 5652 and 5659?

Answer:

Least Common Multiple of 5652 and 5659 = 31984668

Step 1: Find the prime factorization of 5652

5652 = 2 x 2 x 3 x 3 x 157

Step 2: Find the prime factorization of 5659

5659 = 5659

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

LCM = 31984668 = 2 x 2 x 3 x 3 x 157 x 5659

Step 4: Therefore, the least common multiple of 5652 and 5659 is 31984668.