Least Common Multiple of 5640 and 5646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5640 and 5646 the smallest integer that is 5307240 that is divisible by both numbers.

Least Common Multiple (LCM) of 5640 and 5646 is 5307240.

LCM(5640,5646) = 5307240

LCM of 5640 and 5646

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

LCM of:
and

Least Common Multiple of 5640 and 5646

LCM of 5640 and 5646 is 5307240

Least common multiple can be found by multiplying the highest exponent prime factors of 5640 and 5646. First we will calculate the prime factors of 5640 and 5646.

Prime Factorization of 5640


2 5640
2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 5640 are 2, 3, 5,47. Prime factorization of 5640 in exponential form is:

5640 = 23×31×51×471

Prime Factorization of 5646


2 5646
3 2823
941 941
1

Prime factors of 5646 are 2, 3,941. Prime factorization of 5646 in exponential form is:

5646 = 21×31×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 5640 and 5646.

LCM(5640,5646) = 23×31×51×471×9411
LCM(5640,5646) = 5307240

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640

Factors of 5646

List of positive integer factors of 5646 that divides 5646 without a remainder.

1, 2, 3, 6, 941, 1882, 2823, 5646

Least Common Multiple of 5640 and 5646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5640 and 5646, than apply into the LCM equation.

GCF(5640,5646) = 6
LCM(5640,5646) = ( 5640 × 5646) / 6
LCM(5640,5646) = 31843440 / 6
LCM(5640,5646) = 5307240

Properties of LCM 5640 and 5646

(i) The LCM of 5646 and 5640 is associative

LCM of 5640 and 5646 = LCM of 5646 and 5640

Related Least Common Multiples of 5640

Related Least Common Multiples of 5646

Frequently Asked Questions on LCM of 5640 and 5646

1. What is the LCM of 5640 and 5646?

Answer: LCM of 5640 and 5646 is 5307240.

2. What are the Factors of 5640?

Answer: Factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640. There are 32 integers that are factors of 5640. The greatest factor of 5640 is 5640.

3. What are the Factors of 5646?

Answer: Factors of 5646 are 1, 2, 3, 6, 941, 1882, 2823, 5646. There are 8 integers that are factors of 5646. The greatest factor of 5646 is 5646.

4. How to Find the LCM of 5640 and 5646?

Answer:

Least Common Multiple of 5640 and 5646 = 5307240

Step 1: Find the prime factorization of 5640

5640 = 2 x 2 x 2 x 3 x 5 x 47

Step 2: Find the prime factorization of 5646

5646 = 2 x 3 x 941

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

LCM = 5307240 = 2 x 2 x 2 x 3 x 5 x 47 x 941

Step 4: Therefore, the least common multiple of 5640 and 5646 is 5307240.