Least Common Multiple of 5419 and 5424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5419 and 5424 the smallest integer that is 29392656 that is divisible by both numbers.

Least Common Multiple (LCM) of 5419 and 5424 is 29392656.

LCM(5419,5424) = 29392656

LCM of 5419 and 5424

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

LCM of:
and

Least Common Multiple of 5419 and 5424

LCM of 5419 and 5424 is 29392656

Least common multiple can be found by multiplying the highest exponent prime factors of 5419 and 5424. First we will calculate the prime factors of 5419 and 5424.

Prime Factorization of 5419


5419 5419
1

Prime factors of 5419 are 5419. Prime factorization of 5419 in exponential form is:

5419 = 54191

Prime Factorization of 5424


2 5424
2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 5424 are 2, 3,113. Prime factorization of 5424 in exponential form is:

5424 = 24×31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5419 and 5424.

LCM(5419,5424) = 24×31×1131×54191
LCM(5419,5424) = 29392656

Factors of 5419

List of positive integer factors of 5419 that divides 5419 without a remainder.

1, 5419

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424

Least Common Multiple of 5419 and 5424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5419 and 5424, than apply into the LCM equation.

GCF(5419,5424) = 1
LCM(5419,5424) = ( 5419 × 5424) / 1
LCM(5419,5424) = 29392656 / 1
LCM(5419,5424) = 29392656

Properties of LCM 5419 and 5424

(i) The LCM of 5424 and 5419 is associative

LCM of 5419 and 5424 = LCM of 5424 and 5419

Related Least Common Multiples of 5419

Related Least Common Multiples of 5424

Frequently Asked Questions on LCM of 5419 and 5424

1. What is the LCM of 5419 and 5424?

Answer: LCM of 5419 and 5424 is 29392656.

2. What are the Factors of 5419?

Answer: Factors of 5419 are 1, 5419. There are 2 integers that are factors of 5419. The greatest factor of 5419 is 5419.

3. What are the Factors of 5424?

Answer: Factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424. There are 20 integers that are factors of 5424. The greatest factor of 5424 is 5424.

4. How to Find the LCM of 5419 and 5424?

Answer:

Least Common Multiple of 5419 and 5424 = 29392656

Step 1: Find the prime factorization of 5419

5419 = 5419

Step 2: Find the prime factorization of 5424

5424 = 2 x 2 x 2 x 2 x 3 x 113

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

LCM = 29392656 = 2 x 2 x 2 x 2 x 3 x 113 x 5419

Step 4: Therefore, the least common multiple of 5419 and 5424 is 29392656.