Least Common Multiple of 7434 and 7440

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 7440 the smallest integer that is 9218160 that is divisible by both numbers.

Least Common Multiple (LCM) of 7434 and 7440 is 9218160.

LCM(7434,7440) = 9218160

LCM of 7434 and 7440

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

LCM of:
and

Least Common Multiple of 7434 and 7440

LCM of 7434 and 7440 is 9218160

Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7440. First we will calculate the prime factors of 7434 and 7440.

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 7440


2 7440
2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 7440 are 2, 3, 5,31. Prime factorization of 7440 in exponential form is:

7440 = 24×31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7434 and 7440.

LCM(7434,7440) = 24×32×51×71×311×591
LCM(7434,7440) = 9218160

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 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440

Least Common Multiple of 7434 and 7440 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 7440, than apply into the LCM equation.

GCF(7434,7440) = 6
LCM(7434,7440) = ( 7434 × 7440) / 6
LCM(7434,7440) = 55308960 / 6
LCM(7434,7440) = 9218160

Properties of LCM 7434 and 7440

(i) The LCM of 7440 and 7434 is associative

LCM of 7434 and 7440 = LCM of 7440 and 7434

Related Least Common Multiples of 7434

Related Least Common Multiples of 7440

Frequently Asked Questions on LCM of 7434 and 7440

1. What is the LCM of 7434 and 7440?

Answer: LCM of 7434 and 7440 is 9218160.

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 7440?

Answer: Factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440. There are 40 integers that are factors of 7440. The greatest factor of 7440 is 7440.

4. How to Find the LCM of 7434 and 7440?

Answer:

Least Common Multiple of 7434 and 7440 = 9218160

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 7440

7440 = 2 x 2 x 2 x 2 x 3 x 5 x 31

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

LCM = 9218160 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 x 59

Step 4: Therefore, the least common multiple of 7434 and 7440 is 9218160.