Least Common Multiple of 34158 and 34159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34158 and 34159 the smallest integer that is 1166803122 that is divisible by both numbers.

Least Common Multiple (LCM) of 34158 and 34159 is 1166803122.

LCM(34158,34159) = 1166803122

LCM of 34158 and 34159

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

LCM of:
and

Least Common Multiple of 34158 and 34159

LCM of 34158 and 34159 is 1166803122

Least common multiple can be found by multiplying the highest exponent prime factors of 34158 and 34159. First we will calculate the prime factors of 34158 and 34159.

Prime Factorization of 34158


2 34158
3 17079
5693 5693
1

Prime factors of 34158 are 2, 3,5693. Prime factorization of 34158 in exponential form is:

34158 = 21×31×56931

Prime Factorization of 34159


34159 34159
1

Prime factors of 34159 are 34159. Prime factorization of 34159 in exponential form is:

34159 = 341591

Now multiplying the highest exponent prime factors to calculate the LCM of 34158 and 34159.

LCM(34158,34159) = 21×31×56931×341591
LCM(34158,34159) = 1166803122

Factors of 34158

List of positive integer factors of 34158 that divides 34158 without a remainder.

1, 2, 3, 6, 5693, 11386, 17079, 34158

Factors of 34159

List of positive integer factors of 34159 that divides 34159 without a remainder.

1, 34159

Least Common Multiple of 34158 and 34159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34158 and 34159, than apply into the LCM equation.

GCF(34158,34159) = 1
LCM(34158,34159) = ( 34158 × 34159) / 1
LCM(34158,34159) = 1166803122 / 1
LCM(34158,34159) = 1166803122

Properties of LCM 34158 and 34159

(i) The LCM of 34159 and 34158 is associative

LCM of 34158 and 34159 = LCM of 34159 and 34158

Related Least Common Multiples of 34158

Related Least Common Multiples of 34159

Frequently Asked Questions on LCM of 34158 and 34159

1. What is the LCM of 34158 and 34159?

Answer: LCM of 34158 and 34159 is 1166803122.

2. What are the Factors of 34158?

Answer: Factors of 34158 are 1, 2, 3, 6, 5693, 11386, 17079, 34158. There are 8 integers that are factors of 34158. The greatest factor of 34158 is 34158.

3. What are the Factors of 34159?

Answer: Factors of 34159 are 1, 34159. There are 2 integers that are factors of 34159. The greatest factor of 34159 is 34159.

4. How to Find the LCM of 34158 and 34159?

Answer:

Least Common Multiple of 34158 and 34159 = 1166803122

Step 1: Find the prime factorization of 34158

34158 = 2 x 3 x 5693

Step 2: Find the prime factorization of 34159

34159 = 34159

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

LCM = 1166803122 = 2 x 3 x 5693 x 34159

Step 4: Therefore, the least common multiple of 34158 and 34159 is 1166803122.