Least Common Multiple of 5662 and 5668

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 5668 the smallest integer that is 16046108 that is divisible by both numbers.

Least Common Multiple (LCM) of 5662 and 5668 is 16046108.

LCM(5662,5668) = 16046108

LCM of 5662 and 5668

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

LCM of:
and

Least Common Multiple of 5662 and 5668

LCM of 5662 and 5668 is 16046108

Least common multiple can be found by multiplying the highest exponent prime factors of 5662 and 5668. First we will calculate the prime factors of 5662 and 5668.

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 5668


2 5668
2 2834
13 1417
109 109
1

Prime factors of 5668 are 2, 13,109. Prime factorization of 5668 in exponential form is:

5668 = 22×131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5662 and 5668.

LCM(5662,5668) = 22×131×191×1091×1491
LCM(5662,5668) = 16046108

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 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

Least Common Multiple of 5662 and 5668 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 5668, than apply into the LCM equation.

GCF(5662,5668) = 2
LCM(5662,5668) = ( 5662 × 5668) / 2
LCM(5662,5668) = 32092216 / 2
LCM(5662,5668) = 16046108

Properties of LCM 5662 and 5668

(i) The LCM of 5668 and 5662 is associative

LCM of 5662 and 5668 = LCM of 5668 and 5662

Related Least Common Multiples of 5662

Related Least Common Multiples of 5668

Frequently Asked Questions on LCM of 5662 and 5668

1. What is the LCM of 5662 and 5668?

Answer: LCM of 5662 and 5668 is 16046108.

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 5668?

Answer: Factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668. There are 12 integers that are factors of 5668. The greatest factor of 5668 is 5668.

4. How to Find the LCM of 5662 and 5668?

Answer:

Least Common Multiple of 5662 and 5668 = 16046108

Step 1: Find the prime factorization of 5662

5662 = 2 x 19 x 149

Step 2: Find the prime factorization of 5668

5668 = 2 x 2 x 13 x 109

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

LCM = 16046108 = 2 x 2 x 13 x 19 x 109 x 149

Step 4: Therefore, the least common multiple of 5662 and 5668 is 16046108.