Least Common Multiple of 7418 and 7425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7418 and 7425 the smallest integer that is 55078650 that is divisible by both numbers.

Least Common Multiple (LCM) of 7418 and 7425 is 55078650.

LCM(7418,7425) = 55078650

LCM of 7418 and 7425

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

LCM of:
and

Least Common Multiple of 7418 and 7425

LCM of 7418 and 7425 is 55078650

Least common multiple can be found by multiplying the highest exponent prime factors of 7418 and 7425. First we will calculate the prime factors of 7418 and 7425.

Prime Factorization of 7418


2 7418
3709 3709
1

Prime factors of 7418 are 2,3709. Prime factorization of 7418 in exponential form is:

7418 = 21×37091

Prime Factorization of 7425


3 7425
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 7425 are 3, 5,11. Prime factorization of 7425 in exponential form is:

7425 = 33×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7418 and 7425.

LCM(7418,7425) = 21×33×52×111×37091
LCM(7418,7425) = 55078650

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1, 2, 3709, 7418

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

Least Common Multiple of 7418 and 7425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7418 and 7425, than apply into the LCM equation.

GCF(7418,7425) = 1
LCM(7418,7425) = ( 7418 × 7425) / 1
LCM(7418,7425) = 55078650 / 1
LCM(7418,7425) = 55078650

Properties of LCM 7418 and 7425

(i) The LCM of 7425 and 7418 is associative

LCM of 7418 and 7425 = LCM of 7425 and 7418

Related Least Common Multiples of 7418

Related Least Common Multiples of 7425

Frequently Asked Questions on LCM of 7418 and 7425

1. What is the LCM of 7418 and 7425?

Answer: LCM of 7418 and 7425 is 55078650.

2. What are the Factors of 7418?

Answer: Factors of 7418 are 1, 2, 3709, 7418. There are 4 integers that are factors of 7418. The greatest factor of 7418 is 7418.

3. What are the Factors of 7425?

Answer: Factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425. There are 24 integers that are factors of 7425. The greatest factor of 7425 is 7425.

4. How to Find the LCM of 7418 and 7425?

Answer:

Least Common Multiple of 7418 and 7425 = 55078650

Step 1: Find the prime factorization of 7418

7418 = 2 x 3709

Step 2: Find the prime factorization of 7425

7425 = 3 x 3 x 3 x 5 x 5 x 11

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

LCM = 55078650 = 2 x 3 x 3 x 3 x 5 x 5 x 11 x 3709

Step 4: Therefore, the least common multiple of 7418 and 7425 is 55078650.