Least Common Multiple of 7430 and 7434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7430 and 7434 the smallest integer that is 27617310 that is divisible by both numbers.

Least Common Multiple (LCM) of 7430 and 7434 is 27617310.

LCM(7430,7434) = 27617310

LCM of 7430 and 7434

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

LCM of:
and

Least Common Multiple of 7430 and 7434

LCM of 7430 and 7434 is 27617310

Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7434. First we will calculate the prime factors of 7430 and 7434.

Prime Factorization of 7430


2 7430
5 3715
743 743
1

Prime factors of 7430 are 2, 5,743. Prime factorization of 7430 in exponential form is:

7430 = 21×51×7431

Prime Factorization of 7434


2 7434
3 3717
3 1239
7 413
59 59
1

Prime factors of 7434 are 2, 3, 7,59. Prime factorization of 7434 in exponential form is:

7434 = 21×32×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7434.

LCM(7430,7434) = 21×32×51×71×591×7431
LCM(7430,7434) = 27617310

Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1, 2, 5, 10, 743, 1486, 3715, 7430

Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434

Least Common Multiple of 7430 and 7434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7430 and 7434, than apply into the LCM equation.

GCF(7430,7434) = 2
LCM(7430,7434) = ( 7430 × 7434) / 2
LCM(7430,7434) = 55234620 / 2
LCM(7430,7434) = 27617310

Properties of LCM 7430 and 7434

(i) The LCM of 7434 and 7430 is associative

LCM of 7430 and 7434 = LCM of 7434 and 7430

Related Least Common Multiples of 7430

Related Least Common Multiples of 7434

Frequently Asked Questions on LCM of 7430 and 7434

1. What is the LCM of 7430 and 7434?

Answer: LCM of 7430 and 7434 is 27617310.

2. What are the Factors of 7430?

Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.

3. What are the Factors of 7434?

Answer: Factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434. There are 24 integers that are factors of 7434. The greatest factor of 7434 is 7434.

4. How to Find the LCM of 7430 and 7434?

Answer:

Least Common Multiple of 7430 and 7434 = 27617310

Step 1: Find the prime factorization of 7430

7430 = 2 x 5 x 743

Step 2: Find the prime factorization of 7434

7434 = 2 x 3 x 3 x 7 x 59

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

LCM = 27617310 = 2 x 3 x 3 x 5 x 7 x 59 x 743

Step 4: Therefore, the least common multiple of 7430 and 7434 is 27617310.