Least Common Multiple of 5648 and 5650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5648 and 5650 the smallest integer that is 15955600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5648 and 5650 is 15955600.

LCM(5648,5650) = 15955600

LCM of 5648 and 5650

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

LCM of:
and

Least Common Multiple of 5648 and 5650

LCM of 5648 and 5650 is 15955600

Least common multiple can be found by multiplying the highest exponent prime factors of 5648 and 5650. First we will calculate the prime factors of 5648 and 5650.

Prime Factorization of 5648


2 5648
2 2824
2 1412
2 706
353 353
1

Prime factors of 5648 are 2,353. Prime factorization of 5648 in exponential form is:

5648 = 24×3531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5648 and 5650.

LCM(5648,5650) = 24×52×1131×3531
LCM(5648,5650) = 15955600

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

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

Least Common Multiple of 5648 and 5650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5648 and 5650, than apply into the LCM equation.

GCF(5648,5650) = 2
LCM(5648,5650) = ( 5648 × 5650) / 2
LCM(5648,5650) = 31911200 / 2
LCM(5648,5650) = 15955600

Properties of LCM 5648 and 5650

(i) The LCM of 5650 and 5648 is associative

LCM of 5648 and 5650 = LCM of 5650 and 5648

Related Least Common Multiples of 5648

Related Least Common Multiples of 5650

Frequently Asked Questions on LCM of 5648 and 5650

1. What is the LCM of 5648 and 5650?

Answer: LCM of 5648 and 5650 is 15955600.

2. What are the Factors of 5648?

Answer: Factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648. There are 10 integers that are factors of 5648. The greatest factor of 5648 is 5648.

3. 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.

4. How to Find the LCM of 5648 and 5650?

Answer:

Least Common Multiple of 5648 and 5650 = 15955600

Step 1: Find the prime factorization of 5648

5648 = 2 x 2 x 2 x 2 x 353

Step 2: Find the prime factorization of 5650

5650 = 2 x 5 x 5 x 113

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

LCM = 15955600 = 2 x 2 x 2 x 2 x 5 x 5 x 113 x 353

Step 4: Therefore, the least common multiple of 5648 and 5650 is 15955600.