Least Common Multiple of 7435 and 7442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7435 and 7442 the smallest integer that is 55331270 that is divisible by both numbers.

Least Common Multiple (LCM) of 7435 and 7442 is 55331270.

LCM(7435,7442) = 55331270

LCM of 7435 and 7442

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

LCM of:
and

Least Common Multiple of 7435 and 7442

LCM of 7435 and 7442 is 55331270

Least common multiple can be found by multiplying the highest exponent prime factors of 7435 and 7442. First we will calculate the prime factors of 7435 and 7442.

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

Prime Factorization of 7442


2 7442
61 3721
61 61
1

Prime factors of 7442 are 2,61. Prime factorization of 7442 in exponential form is:

7442 = 21×612

Now multiplying the highest exponent prime factors to calculate the LCM of 7435 and 7442.

LCM(7435,7442) = 21×51×612×14871
LCM(7435,7442) = 55331270

Factors of 7435

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

1, 5, 1487, 7435

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1, 2, 61, 122, 3721, 7442

Least Common Multiple of 7435 and 7442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7435 and 7442, than apply into the LCM equation.

GCF(7435,7442) = 1
LCM(7435,7442) = ( 7435 × 7442) / 1
LCM(7435,7442) = 55331270 / 1
LCM(7435,7442) = 55331270

Properties of LCM 7435 and 7442

(i) The LCM of 7442 and 7435 is associative

LCM of 7435 and 7442 = LCM of 7442 and 7435

Related Least Common Multiples of 7435

Related Least Common Multiples of 7442

Frequently Asked Questions on LCM of 7435 and 7442

1. What is the LCM of 7435 and 7442?

Answer: LCM of 7435 and 7442 is 55331270.

2. 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.

3. What are the Factors of 7442?

Answer: Factors of 7442 are 1, 2, 61, 122, 3721, 7442. There are 6 integers that are factors of 7442. The greatest factor of 7442 is 7442.

4. How to Find the LCM of 7435 and 7442?

Answer:

Least Common Multiple of 7435 and 7442 = 55331270

Step 1: Find the prime factorization of 7435

7435 = 5 x 1487

Step 2: Find the prime factorization of 7442

7442 = 2 x 61 x 61

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

LCM = 55331270 = 2 x 5 x 61 x 61 x 1487

Step 4: Therefore, the least common multiple of 7435 and 7442 is 55331270.