Least Common Multiple of 5662 and 5666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5662 and 5666 the smallest integer that is 16040446 that is divisible by both numbers.

Least Common Multiple (LCM) of 5662 and 5666 is 16040446.

LCM(5662,5666) = 16040446

LCM of 5662 and 5666

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

LCM of:
and

Least Common Multiple of 5662 and 5666

LCM of 5662 and 5666 is 16040446

Least common multiple can be found by multiplying the highest exponent prime factors of 5662 and 5666. First we will calculate the prime factors of 5662 and 5666.

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

Prime Factorization of 5666


2 5666
2833 2833
1

Prime factors of 5666 are 2,2833. Prime factorization of 5666 in exponential form is:

5666 = 21×28331

Now multiplying the highest exponent prime factors to calculate the LCM of 5662 and 5666.

LCM(5662,5666) = 21×191×1491×28331
LCM(5662,5666) = 16040446

Factors of 5662

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

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

Factors of 5666

List of positive integer factors of 5666 that divides 5666 without a remainder.

1, 2, 2833, 5666

Least Common Multiple of 5662 and 5666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5662 and 5666, than apply into the LCM equation.

GCF(5662,5666) = 2
LCM(5662,5666) = ( 5662 × 5666) / 2
LCM(5662,5666) = 32080892 / 2
LCM(5662,5666) = 16040446

Properties of LCM 5662 and 5666

(i) The LCM of 5666 and 5662 is associative

LCM of 5662 and 5666 = LCM of 5666 and 5662

Related Least Common Multiples of 5662

Related Least Common Multiples of 5666

Frequently Asked Questions on LCM of 5662 and 5666

1. What is the LCM of 5662 and 5666?

Answer: LCM of 5662 and 5666 is 16040446.

2. 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.

3. What are the Factors of 5666?

Answer: Factors of 5666 are 1, 2, 2833, 5666. There are 4 integers that are factors of 5666. The greatest factor of 5666 is 5666.

4. How to Find the LCM of 5662 and 5666?

Answer:

Least Common Multiple of 5662 and 5666 = 16040446

Step 1: Find the prime factorization of 5662

5662 = 2 x 19 x 149

Step 2: Find the prime factorization of 5666

5666 = 2 x 2833

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

LCM = 16040446 = 2 x 19 x 149 x 2833

Step 4: Therefore, the least common multiple of 5662 and 5666 is 16040446.