Least Common Multiple of 7430 and 7435

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 7435 the smallest integer that is 11048410 that is divisible by both numbers.

Least Common Multiple (LCM) of 7430 and 7435 is 11048410.

LCM(7430,7435) = 11048410

LCM of 7430 and 7435

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

LCM of:
and

Least Common Multiple of 7430 and 7435

LCM of 7430 and 7435 is 11048410

Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7435. First we will calculate the prime factors of 7430 and 7435.

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 7435


5 7435
1487 1487
1

Prime factors of 7435 are 5,1487. Prime factorization of 7435 in exponential form is:

7435 = 51×14871

Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7435.

LCM(7430,7435) = 21×51×7431×14871
LCM(7430,7435) = 11048410

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 7435

List of positive integer factors of 7435 that divides 7435 without a remainder.

1, 5, 1487, 7435

Least Common Multiple of 7430 and 7435 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 7435, than apply into the LCM equation.

GCF(7430,7435) = 5
LCM(7430,7435) = ( 7430 × 7435) / 5
LCM(7430,7435) = 55242050 / 5
LCM(7430,7435) = 11048410

Properties of LCM 7430 and 7435

(i) The LCM of 7435 and 7430 is associative

LCM of 7430 and 7435 = LCM of 7435 and 7430

Related Least Common Multiples of 7430

Related Least Common Multiples of 7435

Frequently Asked Questions on LCM of 7430 and 7435

1. What is the LCM of 7430 and 7435?

Answer: LCM of 7430 and 7435 is 11048410.

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 7435?

Answer: Factors of 7435 are 1, 5, 1487, 7435. There are 4 integers that are factors of 7435. The greatest factor of 7435 is 7435.

4. How to Find the LCM of 7430 and 7435?

Answer:

Least Common Multiple of 7430 and 7435 = 11048410

Step 1: Find the prime factorization of 7430

7430 = 2 x 5 x 743

Step 2: Find the prime factorization of 7435

7435 = 5 x 1487

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

LCM = 11048410 = 2 x 5 x 743 x 1487

Step 4: Therefore, the least common multiple of 7430 and 7435 is 11048410.