Least Common Multiple of 10144 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 10144 and 10149 the smallest integer that is 102951456 that is divisible by both numbers.

Least Common Multiple (LCM) of 10144 and 10149 is 102951456.

LCM(10144,10149) = 102951456

LCM of 10144 and 10149

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

LCM of:
and

Least Common Multiple of 10144 and 10149

LCM of 10144 and 10149 is 102951456

Least common multiple can be found by multiplying the highest exponent prime factors of 10144 and 10149. First we will calculate the prime factors of 10144 and 10149.

Prime Factorization of 10144


2 10144
2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 10144 are 2,317. Prime factorization of 10144 in exponential form is:

10144 = 25×3171

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 10144 and 10149.

LCM(10144,10149) = 25×31×171×1991×3171
LCM(10144,10149) = 102951456

Factors of 10144

List of positive integer factors of 10144 that divides 10144 without a remainder.

1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144

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 10144 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 10144 and 10149, than apply into the LCM equation.

GCF(10144,10149) = 1
LCM(10144,10149) = ( 10144 × 10149) / 1
LCM(10144,10149) = 102951456 / 1
LCM(10144,10149) = 102951456

Properties of LCM 10144 and 10149

(i) The LCM of 10149 and 10144 is associative

LCM of 10144 and 10149 = LCM of 10149 and 10144

Related Least Common Multiples of 10144

Related Least Common Multiples of 10149

Frequently Asked Questions on LCM of 10144 and 10149

1. What is the LCM of 10144 and 10149?

Answer: LCM of 10144 and 10149 is 102951456.

2. What are the Factors of 10144?

Answer: Factors of 10144 are 1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144. There are 12 integers that are factors of 10144. The greatest factor of 10144 is 10144.

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 10144 and 10149?

Answer:

Least Common Multiple of 10144 and 10149 = 102951456

Step 1: Find the prime factorization of 10144

10144 = 2 x 2 x 2 x 2 x 2 x 317

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 = 102951456 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 199 x 317

Step 4: Therefore, the least common multiple of 10144 and 10149 is 102951456.