Least Common Multiple of 5655 and 5662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5655 and 5662 the smallest integer that is 32018610 that is divisible by both numbers.

Least Common Multiple (LCM) of 5655 and 5662 is 32018610.

LCM(5655,5662) = 32018610

LCM of 5655 and 5662

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

LCM of:
and

Least Common Multiple of 5655 and 5662

LCM of 5655 and 5662 is 32018610

Least common multiple can be found by multiplying the highest exponent prime factors of 5655 and 5662. First we will calculate the prime factors of 5655 and 5662.

Prime Factorization of 5655


3 5655
5 1885
13 377
29 29
1

Prime factors of 5655 are 3, 5, 13,29. Prime factorization of 5655 in exponential form is:

5655 = 31×51×131×291

Prime Factorization of 5662


2 5662
19 2831
149 149
1

Prime factors of 5662 are 2, 19,149. Prime factorization of 5662 in exponential form is:

5662 = 21×191×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5655 and 5662.

LCM(5655,5662) = 21×31×51×131×191×291×1491
LCM(5655,5662) = 32018610

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655

Factors of 5662

List of positive integer factors of 5662 that divides 5662 without a remainder.

1, 2, 19, 38, 149, 298, 2831, 5662

Least Common Multiple of 5655 and 5662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5655 and 5662, than apply into the LCM equation.

GCF(5655,5662) = 1
LCM(5655,5662) = ( 5655 × 5662) / 1
LCM(5655,5662) = 32018610 / 1
LCM(5655,5662) = 32018610

Properties of LCM 5655 and 5662

(i) The LCM of 5662 and 5655 is associative

LCM of 5655 and 5662 = LCM of 5662 and 5655

Related Least Common Multiples of 5655

Related Least Common Multiples of 5662

Frequently Asked Questions on LCM of 5655 and 5662

1. What is the LCM of 5655 and 5662?

Answer: LCM of 5655 and 5662 is 32018610.

2. What are the Factors of 5655?

Answer: Factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655. There are 16 integers that are factors of 5655. The greatest factor of 5655 is 5655.

3. What are the Factors of 5662?

Answer: Factors of 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662. There are 8 integers that are factors of 5662. The greatest factor of 5662 is 5662.

4. How to Find the LCM of 5655 and 5662?

Answer:

Least Common Multiple of 5655 and 5662 = 32018610

Step 1: Find the prime factorization of 5655

5655 = 3 x 5 x 13 x 29

Step 2: Find the prime factorization of 5662

5662 = 2 x 19 x 149

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

LCM = 32018610 = 2 x 3 x 5 x 13 x 19 x 29 x 149

Step 4: Therefore, the least common multiple of 5655 and 5662 is 32018610.