Least Common Multiple of 5658 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 5658 and 5662 the smallest integer that is 16017798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5658 and 5662 is 16017798.

LCM(5658,5662) = 16017798

LCM of 5658 and 5662

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

LCM of:
and

Least Common Multiple of 5658 and 5662

LCM of 5658 and 5662 is 16017798

Least common multiple can be found by multiplying the highest exponent prime factors of 5658 and 5662. First we will calculate the prime factors of 5658 and 5662.

Prime Factorization of 5658


2 5658
3 2829
23 943
41 41
1

Prime factors of 5658 are 2, 3, 23,41. Prime factorization of 5658 in exponential form is:

5658 = 21×31×231×411

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 5658 and 5662.

LCM(5658,5662) = 21×31×191×231×411×1491
LCM(5658,5662) = 16017798

Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658

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 5658 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 5658 and 5662, than apply into the LCM equation.

GCF(5658,5662) = 2
LCM(5658,5662) = ( 5658 × 5662) / 2
LCM(5658,5662) = 32035596 / 2
LCM(5658,5662) = 16017798

Properties of LCM 5658 and 5662

(i) The LCM of 5662 and 5658 is associative

LCM of 5658 and 5662 = LCM of 5662 and 5658

Related Least Common Multiples of 5658

Related Least Common Multiples of 5662

Frequently Asked Questions on LCM of 5658 and 5662

1. What is the LCM of 5658 and 5662?

Answer: LCM of 5658 and 5662 is 16017798.

2. What are the Factors of 5658?

Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.

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 5658 and 5662?

Answer:

Least Common Multiple of 5658 and 5662 = 16017798

Step 1: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

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 = 16017798 = 2 x 3 x 19 x 23 x 41 x 149

Step 4: Therefore, the least common multiple of 5658 and 5662 is 16017798.