Least Common Multiple of 144364 and 144370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144364 and 144370 the smallest integer that is 10420915340 that is divisible by both numbers.

Least Common Multiple (LCM) of 144364 and 144370 is 10420915340.

LCM(144364,144370) = 10420915340

LCM of 144364 and 144370

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

LCM of:
and

Least Common Multiple of 144364 and 144370

LCM of 144364 and 144370 is 10420915340

Least common multiple can be found by multiplying the highest exponent prime factors of 144364 and 144370. First we will calculate the prime factors of 144364 and 144370.

Prime Factorization of 144364


2 144364
2 72182
11 36091
17 3281
193 193
1

Prime factors of 144364 are 2, 11, 17,193. Prime factorization of 144364 in exponential form is:

144364 = 22×111×171×1931

Prime Factorization of 144370


2 144370
5 72185
14437 14437
1

Prime factors of 144370 are 2, 5,14437. Prime factorization of 144370 in exponential form is:

144370 = 21×51×144371

Now multiplying the highest exponent prime factors to calculate the LCM of 144364 and 144370.

LCM(144364,144370) = 22×51×111×171×1931×144371
LCM(144364,144370) = 10420915340

Factors of 144364

List of positive integer factors of 144364 that divides 144364 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 193, 374, 386, 748, 772, 2123, 3281, 4246, 6562, 8492, 13124, 36091, 72182, 144364

Factors of 144370

List of positive integer factors of 144370 that divides 144370 without a remainder.

1, 2, 5, 10, 14437, 28874, 72185, 144370

Least Common Multiple of 144364 and 144370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144364 and 144370, than apply into the LCM equation.

GCF(144364,144370) = 2
LCM(144364,144370) = ( 144364 × 144370) / 2
LCM(144364,144370) = 20841830680 / 2
LCM(144364,144370) = 10420915340

Properties of LCM 144364 and 144370

(i) The LCM of 144370 and 144364 is associative

LCM of 144364 and 144370 = LCM of 144370 and 144364

Related Least Common Multiples of 144364

Related Least Common Multiples of 144370

Frequently Asked Questions on LCM of 144364 and 144370

1. What is the LCM of 144364 and 144370?

Answer: LCM of 144364 and 144370 is 10420915340.

2. What are the Factors of 144364?

Answer: Factors of 144364 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 193, 374, 386, 748, 772, 2123, 3281, 4246, 6562, 8492, 13124, 36091, 72182, 144364. There are 24 integers that are factors of 144364. The greatest factor of 144364 is 144364.

3. What are the Factors of 144370?

Answer: Factors of 144370 are 1, 2, 5, 10, 14437, 28874, 72185, 144370. There are 8 integers that are factors of 144370. The greatest factor of 144370 is 144370.

4. How to Find the LCM of 144364 and 144370?

Answer:

Least Common Multiple of 144364 and 144370 = 10420915340

Step 1: Find the prime factorization of 144364

144364 = 2 x 2 x 11 x 17 x 193

Step 2: Find the prime factorization of 144370

144370 = 2 x 5 x 14437

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

LCM = 10420915340 = 2 x 2 x 5 x 11 x 17 x 193 x 14437

Step 4: Therefore, the least common multiple of 144364 and 144370 is 10420915340.