Least Common Multiple of 7419 and 7424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7419 and 7424 the smallest integer that is 55078656 that is divisible by both numbers.

Least Common Multiple (LCM) of 7419 and 7424 is 55078656.

LCM(7419,7424) = 55078656

LCM of 7419 and 7424

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

LCM of:
and

Least Common Multiple of 7419 and 7424

LCM of 7419 and 7424 is 55078656

Least common multiple can be found by multiplying the highest exponent prime factors of 7419 and 7424. First we will calculate the prime factors of 7419 and 7424.

Prime Factorization of 7419


3 7419
2473 2473
1

Prime factors of 7419 are 3,2473. Prime factorization of 7419 in exponential form is:

7419 = 31×24731

Prime Factorization of 7424


2 7424
2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 7424 are 2,29. Prime factorization of 7424 in exponential form is:

7424 = 28×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7419 and 7424.

LCM(7419,7424) = 28×31×291×24731
LCM(7419,7424) = 55078656

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1, 3, 2473, 7419

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

Least Common Multiple of 7419 and 7424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7419 and 7424, than apply into the LCM equation.

GCF(7419,7424) = 1
LCM(7419,7424) = ( 7419 × 7424) / 1
LCM(7419,7424) = 55078656 / 1
LCM(7419,7424) = 55078656

Properties of LCM 7419 and 7424

(i) The LCM of 7424 and 7419 is associative

LCM of 7419 and 7424 = LCM of 7424 and 7419

Related Least Common Multiples of 7419

Related Least Common Multiples of 7424

Frequently Asked Questions on LCM of 7419 and 7424

1. What is the LCM of 7419 and 7424?

Answer: LCM of 7419 and 7424 is 55078656.

2. What are the Factors of 7419?

Answer: Factors of 7419 are 1, 3, 2473, 7419. There are 4 integers that are factors of 7419. The greatest factor of 7419 is 7419.

3. What are the Factors of 7424?

Answer: Factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424. There are 18 integers that are factors of 7424. The greatest factor of 7424 is 7424.

4. How to Find the LCM of 7419 and 7424?

Answer:

Least Common Multiple of 7419 and 7424 = 55078656

Step 1: Find the prime factorization of 7419

7419 = 3 x 2473

Step 2: Find the prime factorization of 7424

7424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

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

LCM = 55078656 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 2473

Step 4: Therefore, the least common multiple of 7419 and 7424 is 55078656.