Least Common Multiple of 7434 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 7434 and 7442 the smallest integer that is 27661914 that is divisible by both numbers.

Least Common Multiple (LCM) of 7434 and 7442 is 27661914.

LCM(7434,7442) = 27661914

LCM of 7434 and 7442

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

LCM of:
and

Least Common Multiple of 7434 and 7442

LCM of 7434 and 7442 is 27661914

Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7442. First we will calculate the prime factors of 7434 and 7442.

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

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 7434 and 7442.

LCM(7434,7442) = 21×32×71×591×612
LCM(7434,7442) = 27661914

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

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 7434 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 7434 and 7442, than apply into the LCM equation.

GCF(7434,7442) = 2
LCM(7434,7442) = ( 7434 × 7442) / 2
LCM(7434,7442) = 55323828 / 2
LCM(7434,7442) = 27661914

Properties of LCM 7434 and 7442

(i) The LCM of 7442 and 7434 is associative

LCM of 7434 and 7442 = LCM of 7442 and 7434

Related Least Common Multiples of 7434

Related Least Common Multiples of 7442

Frequently Asked Questions on LCM of 7434 and 7442

1. What is the LCM of 7434 and 7442?

Answer: LCM of 7434 and 7442 is 27661914.

2. 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.

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 7434 and 7442?

Answer:

Least Common Multiple of 7434 and 7442 = 27661914

Step 1: Find the prime factorization of 7434

7434 = 2 x 3 x 3 x 7 x 59

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 = 27661914 = 2 x 3 x 3 x 7 x 59 x 61 x 61

Step 4: Therefore, the least common multiple of 7434 and 7442 is 27661914.