Least Common Multiple of 5646 and 5654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5646 and 5654 the smallest integer that is 15961242 that is divisible by both numbers.

Least Common Multiple (LCM) of 5646 and 5654 is 15961242.

LCM(5646,5654) = 15961242

LCM of 5646 and 5654

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

LCM of:
and

Least Common Multiple of 5646 and 5654

LCM of 5646 and 5654 is 15961242

Least common multiple can be found by multiplying the highest exponent prime factors of 5646 and 5654. First we will calculate the prime factors of 5646 and 5654.

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

Prime Factorization of 5654


2 5654
11 2827
257 257
1

Prime factors of 5654 are 2, 11,257. Prime factorization of 5654 in exponential form is:

5654 = 21×111×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 5646 and 5654.

LCM(5646,5654) = 21×31×111×2571×9411
LCM(5646,5654) = 15961242

Factors of 5646

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

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

Factors of 5654

List of positive integer factors of 5654 that divides 5654 without a remainder.

1, 2, 11, 22, 257, 514, 2827, 5654

Least Common Multiple of 5646 and 5654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5646 and 5654, than apply into the LCM equation.

GCF(5646,5654) = 2
LCM(5646,5654) = ( 5646 × 5654) / 2
LCM(5646,5654) = 31922484 / 2
LCM(5646,5654) = 15961242

Properties of LCM 5646 and 5654

(i) The LCM of 5654 and 5646 is associative

LCM of 5646 and 5654 = LCM of 5654 and 5646

Related Least Common Multiples of 5646

Related Least Common Multiples of 5654

Frequently Asked Questions on LCM of 5646 and 5654

1. What is the LCM of 5646 and 5654?

Answer: LCM of 5646 and 5654 is 15961242.

2. 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.

3. What are the Factors of 5654?

Answer: Factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654. There are 8 integers that are factors of 5654. The greatest factor of 5654 is 5654.

4. How to Find the LCM of 5646 and 5654?

Answer:

Least Common Multiple of 5646 and 5654 = 15961242

Step 1: Find the prime factorization of 5646

5646 = 2 x 3 x 941

Step 2: Find the prime factorization of 5654

5654 = 2 x 11 x 257

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

LCM = 15961242 = 2 x 3 x 11 x 257 x 941

Step 4: Therefore, the least common multiple of 5646 and 5654 is 15961242.