Least Common Multiple of 7440 and 7444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7440 and 7444 the smallest integer that is 13845840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7440 and 7444 is 13845840.

LCM(7440,7444) = 13845840

LCM of 7440 and 7444

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

LCM of:
and

Least Common Multiple of 7440 and 7444

LCM of 7440 and 7444 is 13845840

Least common multiple can be found by multiplying the highest exponent prime factors of 7440 and 7444. First we will calculate the prime factors of 7440 and 7444.

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

Prime Factorization of 7444


2 7444
2 3722
1861 1861
1

Prime factors of 7444 are 2,1861. Prime factorization of 7444 in exponential form is:

7444 = 22×18611

Now multiplying the highest exponent prime factors to calculate the LCM of 7440 and 7444.

LCM(7440,7444) = 24×31×51×311×18611
LCM(7440,7444) = 13845840

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

Factors of 7444

List of positive integer factors of 7444 that divides 7444 without a remainder.

1, 2, 4, 1861, 3722, 7444

Least Common Multiple of 7440 and 7444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7440 and 7444, than apply into the LCM equation.

GCF(7440,7444) = 4
LCM(7440,7444) = ( 7440 × 7444) / 4
LCM(7440,7444) = 55383360 / 4
LCM(7440,7444) = 13845840

Properties of LCM 7440 and 7444

(i) The LCM of 7444 and 7440 is associative

LCM of 7440 and 7444 = LCM of 7444 and 7440

Related Least Common Multiples of 7440

Related Least Common Multiples of 7444

Frequently Asked Questions on LCM of 7440 and 7444

1. What is the LCM of 7440 and 7444?

Answer: LCM of 7440 and 7444 is 13845840.

2. 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.

3. What are the Factors of 7444?

Answer: Factors of 7444 are 1, 2, 4, 1861, 3722, 7444. There are 6 integers that are factors of 7444. The greatest factor of 7444 is 7444.

4. How to Find the LCM of 7440 and 7444?

Answer:

Least Common Multiple of 7440 and 7444 = 13845840

Step 1: Find the prime factorization of 7440

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

Step 2: Find the prime factorization of 7444

7444 = 2 x 2 x 1861

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

LCM = 13845840 = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 1861

Step 4: Therefore, the least common multiple of 7440 and 7444 is 13845840.