Least Common Multiple of 10145 and 10149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10145 and 10149 the smallest integer that is 102961605 that is divisible by both numbers.

Least Common Multiple (LCM) of 10145 and 10149 is 102961605.

LCM(10145,10149) = 102961605

LCM of 10145 and 10149

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

LCM of:
and

Least Common Multiple of 10145 and 10149

LCM of 10145 and 10149 is 102961605

Least common multiple can be found by multiplying the highest exponent prime factors of 10145 and 10149. First we will calculate the prime factors of 10145 and 10149.

Prime Factorization of 10145


5 10145
2029 2029
1

Prime factors of 10145 are 5,2029. Prime factorization of 10145 in exponential form is:

10145 = 51×20291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10145 and 10149.

LCM(10145,10149) = 31×51×171×1991×20291
LCM(10145,10149) = 102961605

Factors of 10145

List of positive integer factors of 10145 that divides 10145 without a remainder.

1, 5, 2029, 10145

Factors of 10149

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

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

Least Common Multiple of 10145 and 10149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10145 and 10149, than apply into the LCM equation.

GCF(10145,10149) = 1
LCM(10145,10149) = ( 10145 × 10149) / 1
LCM(10145,10149) = 102961605 / 1
LCM(10145,10149) = 102961605

Properties of LCM 10145 and 10149

(i) The LCM of 10149 and 10145 is associative

LCM of 10145 and 10149 = LCM of 10149 and 10145

Related Least Common Multiples of 10145

Related Least Common Multiples of 10149

Frequently Asked Questions on LCM of 10145 and 10149

1. What is the LCM of 10145 and 10149?

Answer: LCM of 10145 and 10149 is 102961605.

2. What are the Factors of 10145?

Answer: Factors of 10145 are 1, 5, 2029, 10145. There are 4 integers that are factors of 10145. The greatest factor of 10145 is 10145.

3. 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.

4. How to Find the LCM of 10145 and 10149?

Answer:

Least Common Multiple of 10145 and 10149 = 102961605

Step 1: Find the prime factorization of 10145

10145 = 5 x 2029

Step 2: Find the prime factorization of 10149

10149 = 3 x 17 x 199

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

LCM = 102961605 = 3 x 5 x 17 x 199 x 2029

Step 4: Therefore, the least common multiple of 10145 and 10149 is 102961605.