Least Common Multiple of 5650 and 5656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5650 and 5656 the smallest integer that is 15978200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5650 and 5656 is 15978200.

LCM(5650,5656) = 15978200

LCM of 5650 and 5656

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

LCM of:
and

Least Common Multiple of 5650 and 5656

LCM of 5650 and 5656 is 15978200

Least common multiple can be found by multiplying the highest exponent prime factors of 5650 and 5656. First we will calculate the prime factors of 5650 and 5656.

Prime Factorization of 5650


2 5650
5 2825
5 565
113 113
1

Prime factors of 5650 are 2, 5,113. Prime factorization of 5650 in exponential form is:

5650 = 21×52×1131

Prime Factorization of 5656


2 5656
2 2828
2 1414
7 707
101 101
1

Prime factors of 5656 are 2, 7,101. Prime factorization of 5656 in exponential form is:

5656 = 23×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5650 and 5656.

LCM(5650,5656) = 23×52×71×1011×1131
LCM(5650,5656) = 15978200

Factors of 5650

List of positive integer factors of 5650 that divides 5650 without a remainder.

1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

Least Common Multiple of 5650 and 5656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5650 and 5656, than apply into the LCM equation.

GCF(5650,5656) = 2
LCM(5650,5656) = ( 5650 × 5656) / 2
LCM(5650,5656) = 31956400 / 2
LCM(5650,5656) = 15978200

Properties of LCM 5650 and 5656

(i) The LCM of 5656 and 5650 is associative

LCM of 5650 and 5656 = LCM of 5656 and 5650

Related Least Common Multiples of 5650

Related Least Common Multiples of 5656

Frequently Asked Questions on LCM of 5650 and 5656

1. What is the LCM of 5650 and 5656?

Answer: LCM of 5650 and 5656 is 15978200.

2. What are the Factors of 5650?

Answer: Factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650. There are 12 integers that are factors of 5650. The greatest factor of 5650 is 5650.

3. What are the Factors of 5656?

Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.

4. How to Find the LCM of 5650 and 5656?

Answer:

Least Common Multiple of 5650 and 5656 = 15978200

Step 1: Find the prime factorization of 5650

5650 = 2 x 5 x 5 x 113

Step 2: Find the prime factorization of 5656

5656 = 2 x 2 x 2 x 7 x 101

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

LCM = 15978200 = 2 x 2 x 2 x 5 x 5 x 7 x 101 x 113

Step 4: Therefore, the least common multiple of 5650 and 5656 is 15978200.