Least Common Multiple of 33161 and 33168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 33161 and 33168 the smallest integer that is 1099884048 that is divisible by both numbers.

Least Common Multiple (LCM) of 33161 and 33168 is 1099884048.

LCM(33161,33168) = 1099884048

LCM of 33161 and 33168

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

LCM of:
and

Least Common Multiple of 33161 and 33168

LCM of 33161 and 33168 is 1099884048

Least common multiple can be found by multiplying the highest exponent prime factors of 33161 and 33168. First we will calculate the prime factors of 33161 and 33168.

Prime Factorization of 33161


33161 33161
1

Prime factors of 33161 are 33161. Prime factorization of 33161 in exponential form is:

33161 = 331611

Prime Factorization of 33168


2 33168
2 16584
2 8292
2 4146
3 2073
691 691
1

Prime factors of 33168 are 2, 3,691. Prime factorization of 33168 in exponential form is:

33168 = 24×31×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 33161 and 33168.

LCM(33161,33168) = 24×31×6911×331611
LCM(33161,33168) = 1099884048

Factors of 33161

List of positive integer factors of 33161 that divides 33161 without a remainder.

1, 33161

Factors of 33168

List of positive integer factors of 33168 that divides 33168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 33168

Least Common Multiple of 33161 and 33168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33161 and 33168, than apply into the LCM equation.

GCF(33161,33168) = 1
LCM(33161,33168) = ( 33161 × 33168) / 1
LCM(33161,33168) = 1099884048 / 1
LCM(33161,33168) = 1099884048

Properties of LCM 33161 and 33168

(i) The LCM of 33168 and 33161 is associative

LCM of 33161 and 33168 = LCM of 33168 and 33161

Related Least Common Multiples of 33161

Related Least Common Multiples of 33168

Frequently Asked Questions on LCM of 33161 and 33168

1. What is the LCM of 33161 and 33168?

Answer: LCM of 33161 and 33168 is 1099884048.

2. What are the Factors of 33161?

Answer: Factors of 33161 are 1, 33161. There are 2 integers that are factors of 33161. The greatest factor of 33161 is 33161.

3. What are the Factors of 33168?

Answer: Factors of 33168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 33168. There are 20 integers that are factors of 33168. The greatest factor of 33168 is 33168.

4. How to Find the LCM of 33161 and 33168?

Answer:

Least Common Multiple of 33161 and 33168 = 1099884048

Step 1: Find the prime factorization of 33161

33161 = 33161

Step 2: Find the prime factorization of 33168

33168 = 2 x 2 x 2 x 2 x 3 x 691

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

LCM = 1099884048 = 2 x 2 x 2 x 2 x 3 x 691 x 33161

Step 4: Therefore, the least common multiple of 33161 and 33168 is 1099884048.