Least Common Multiple of 10149 and 10155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10149 and 10155 the smallest integer that is 34354365 that is divisible by both numbers.

Least Common Multiple (LCM) of 10149 and 10155 is 34354365.

LCM(10149,10155) = 34354365

LCM of 10149 and 10155

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

LCM of:
and

Least Common Multiple of 10149 and 10155

LCM of 10149 and 10155 is 34354365

Least common multiple can be found by multiplying the highest exponent prime factors of 10149 and 10155. First we will calculate the prime factors of 10149 and 10155.

Prime Factorization of 10149


3 10149
17 3383
199 199
1

Prime factors of 10149 are 3, 17,199. Prime factorization of 10149 in exponential form is:

10149 = 31×171×1991

Prime Factorization of 10155


3 10155
5 3385
677 677
1

Prime factors of 10155 are 3, 5,677. Prime factorization of 10155 in exponential form is:

10155 = 31×51×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 10149 and 10155.

LCM(10149,10155) = 31×51×171×1991×6771
LCM(10149,10155) = 34354365

Factors of 10149

List of positive integer factors of 10149 that divides 10149 without a remainder.

1, 3, 17, 51, 199, 597, 3383, 10149

Factors of 10155

List of positive integer factors of 10155 that divides 10155 without a remainder.

1, 3, 5, 15, 677, 2031, 3385, 10155

Least Common Multiple of 10149 and 10155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10149 and 10155, than apply into the LCM equation.

GCF(10149,10155) = 3
LCM(10149,10155) = ( 10149 × 10155) / 3
LCM(10149,10155) = 103063095 / 3
LCM(10149,10155) = 34354365

Properties of LCM 10149 and 10155

(i) The LCM of 10155 and 10149 is associative

LCM of 10149 and 10155 = LCM of 10155 and 10149

Related Least Common Multiples of 10149

Related Least Common Multiples of 10155

Frequently Asked Questions on LCM of 10149 and 10155

1. What is the LCM of 10149 and 10155?

Answer: LCM of 10149 and 10155 is 34354365.

2. What are the Factors of 10149?

Answer: Factors of 10149 are 1, 3, 17, 51, 199, 597, 3383, 10149. There are 8 integers that are factors of 10149. The greatest factor of 10149 is 10149.

3. What are the Factors of 10155?

Answer: Factors of 10155 are 1, 3, 5, 15, 677, 2031, 3385, 10155. There are 8 integers that are factors of 10155. The greatest factor of 10155 is 10155.

4. How to Find the LCM of 10149 and 10155?

Answer:

Least Common Multiple of 10149 and 10155 = 34354365

Step 1: Find the prime factorization of 10149

10149 = 3 x 17 x 199

Step 2: Find the prime factorization of 10155

10155 = 3 x 5 x 677

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

LCM = 34354365 = 3 x 5 x 17 x 199 x 677

Step 4: Therefore, the least common multiple of 10149 and 10155 is 34354365.