Least Common Multiple of 11419 and 11424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11419 and 11424 the smallest integer that is 130450656 that is divisible by both numbers.

Least Common Multiple (LCM) of 11419 and 11424 is 130450656.

LCM(11419,11424) = 130450656

LCM of 11419 and 11424

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

LCM of:
and

Least Common Multiple of 11419 and 11424

LCM of 11419 and 11424 is 130450656

Least common multiple can be found by multiplying the highest exponent prime factors of 11419 and 11424. First we will calculate the prime factors of 11419 and 11424.

Prime Factorization of 11419


19 11419
601 601
1

Prime factors of 11419 are 19,601. Prime factorization of 11419 in exponential form is:

11419 = 191×6011

Prime Factorization of 11424


2 11424
2 5712
2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 11424 are 2, 3, 7,17. Prime factorization of 11424 in exponential form is:

11424 = 25×31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 11419 and 11424.

LCM(11419,11424) = 25×31×71×171×191×6011
LCM(11419,11424) = 130450656

Factors of 11419

List of positive integer factors of 11419 that divides 11419 without a remainder.

1, 19, 601, 11419

Factors of 11424

List of positive integer factors of 11424 that divides 11424 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168, 204, 224, 238, 272, 336, 357, 408, 476, 544, 672, 714, 816, 952, 1428, 1632, 1904, 2856, 3808, 5712, 11424

Least Common Multiple of 11419 and 11424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11419 and 11424, than apply into the LCM equation.

GCF(11419,11424) = 1
LCM(11419,11424) = ( 11419 × 11424) / 1
LCM(11419,11424) = 130450656 / 1
LCM(11419,11424) = 130450656

Properties of LCM 11419 and 11424

(i) The LCM of 11424 and 11419 is associative

LCM of 11419 and 11424 = LCM of 11424 and 11419

Related Least Common Multiples of 11419

Related Least Common Multiples of 11424

Frequently Asked Questions on LCM of 11419 and 11424

1. What is the LCM of 11419 and 11424?

Answer: LCM of 11419 and 11424 is 130450656.

2. What are the Factors of 11419?

Answer: Factors of 11419 are 1, 19, 601, 11419. There are 4 integers that are factors of 11419. The greatest factor of 11419 is 11419.

3. What are the Factors of 11424?

Answer: Factors of 11424 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 51, 56, 68, 84, 96, 102, 112, 119, 136, 168, 204, 224, 238, 272, 336, 357, 408, 476, 544, 672, 714, 816, 952, 1428, 1632, 1904, 2856, 3808, 5712, 11424. There are 48 integers that are factors of 11424. The greatest factor of 11424 is 11424.

4. How to Find the LCM of 11419 and 11424?

Answer:

Least Common Multiple of 11419 and 11424 = 130450656

Step 1: Find the prime factorization of 11419

11419 = 19 x 601

Step 2: Find the prime factorization of 11424

11424 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17

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

LCM = 130450656 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 19 x 601

Step 4: Therefore, the least common multiple of 11419 and 11424 is 130450656.