Least Common Multiple of 7419 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 7419 and 7425 the smallest integer that is 18362025 that is divisible by both numbers.

Least Common Multiple (LCM) of 7419 and 7425 is 18362025.

LCM(7419,7425) = 18362025

LCM of 7419 and 7425

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

LCM of:
and

Least Common Multiple of 7419 and 7425

LCM of 7419 and 7425 is 18362025

Least common multiple can be found by multiplying the highest exponent prime factors of 7419 and 7425. First we will calculate the prime factors of 7419 and 7425.

Prime Factorization of 7419


3 7419
2473 2473
1

Prime factors of 7419 are 3,2473. Prime factorization of 7419 in exponential form is:

7419 = 31×24731

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 7419 and 7425.

LCM(7419,7425) = 33×52×111×24731
LCM(7419,7425) = 18362025

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1, 3, 2473, 7419

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 7419 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 7419 and 7425, than apply into the LCM equation.

GCF(7419,7425) = 3
LCM(7419,7425) = ( 7419 × 7425) / 3
LCM(7419,7425) = 55086075 / 3
LCM(7419,7425) = 18362025

Properties of LCM 7419 and 7425

(i) The LCM of 7425 and 7419 is associative

LCM of 7419 and 7425 = LCM of 7425 and 7419

Related Least Common Multiples of 7419

Related Least Common Multiples of 7425

Frequently Asked Questions on LCM of 7419 and 7425

1. What is the LCM of 7419 and 7425?

Answer: LCM of 7419 and 7425 is 18362025.

2. What are the Factors of 7419?

Answer: Factors of 7419 are 1, 3, 2473, 7419. There are 4 integers that are factors of 7419. The greatest factor of 7419 is 7419.

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 7419 and 7425?

Answer:

Least Common Multiple of 7419 and 7425 = 18362025

Step 1: Find the prime factorization of 7419

7419 = 3 x 2473

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 = 18362025 = 3 x 3 x 3 x 5 x 5 x 11 x 2473

Step 4: Therefore, the least common multiple of 7419 and 7425 is 18362025.