Least Common Multiple of 10153 and 10158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10153 and 10158 the smallest integer that is 103134174 that is divisible by both numbers.

Least Common Multiple (LCM) of 10153 and 10158 is 103134174.

LCM(10153,10158) = 103134174

LCM of 10153 and 10158

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

LCM of:
and

Least Common Multiple of 10153 and 10158

LCM of 10153 and 10158 is 103134174

Least common multiple can be found by multiplying the highest exponent prime factors of 10153 and 10158. First we will calculate the prime factors of 10153 and 10158.

Prime Factorization of 10153


11 10153
13 923
71 71
1

Prime factors of 10153 are 11, 13,71. Prime factorization of 10153 in exponential form is:

10153 = 111×131×711

Prime Factorization of 10158


2 10158
3 5079
1693 1693
1

Prime factors of 10158 are 2, 3,1693. Prime factorization of 10158 in exponential form is:

10158 = 21×31×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 10153 and 10158.

LCM(10153,10158) = 21×31×111×131×711×16931
LCM(10153,10158) = 103134174

Factors of 10153

List of positive integer factors of 10153 that divides 10153 without a remainder.

1, 11, 13, 71, 143, 781, 923, 10153

Factors of 10158

List of positive integer factors of 10158 that divides 10158 without a remainder.

1, 2, 3, 6, 1693, 3386, 5079, 10158

Least Common Multiple of 10153 and 10158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10153 and 10158, than apply into the LCM equation.

GCF(10153,10158) = 1
LCM(10153,10158) = ( 10153 × 10158) / 1
LCM(10153,10158) = 103134174 / 1
LCM(10153,10158) = 103134174

Properties of LCM 10153 and 10158

(i) The LCM of 10158 and 10153 is associative

LCM of 10153 and 10158 = LCM of 10158 and 10153

Related Least Common Multiples of 10153

Related Least Common Multiples of 10158

Frequently Asked Questions on LCM of 10153 and 10158

1. What is the LCM of 10153 and 10158?

Answer: LCM of 10153 and 10158 is 103134174.

2. What are the Factors of 10153?

Answer: Factors of 10153 are 1, 11, 13, 71, 143, 781, 923, 10153. There are 8 integers that are factors of 10153. The greatest factor of 10153 is 10153.

3. What are the Factors of 10158?

Answer: Factors of 10158 are 1, 2, 3, 6, 1693, 3386, 5079, 10158. There are 8 integers that are factors of 10158. The greatest factor of 10158 is 10158.

4. How to Find the LCM of 10153 and 10158?

Answer:

Least Common Multiple of 10153 and 10158 = 103134174

Step 1: Find the prime factorization of 10153

10153 = 11 x 13 x 71

Step 2: Find the prime factorization of 10158

10158 = 2 x 3 x 1693

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

LCM = 103134174 = 2 x 3 x 11 x 13 x 71 x 1693

Step 4: Therefore, the least common multiple of 10153 and 10158 is 103134174.