Least Common Multiple of 4418 and 4425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4418 and 4425 the smallest integer that is 19549650 that is divisible by both numbers.

Least Common Multiple (LCM) of 4418 and 4425 is 19549650.

LCM(4418,4425) = 19549650

LCM of 4418 and 4425

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

LCM of:
and

Least Common Multiple of 4418 and 4425

LCM of 4418 and 4425 is 19549650

Least common multiple can be found by multiplying the highest exponent prime factors of 4418 and 4425. First we will calculate the prime factors of 4418 and 4425.

Prime Factorization of 4418


2 4418
47 2209
47 47
1

Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:

4418 = 21×472

Prime Factorization of 4425


3 4425
5 1475
5 295
59 59
1

Prime factors of 4425 are 3, 5,59. Prime factorization of 4425 in exponential form is:

4425 = 31×52×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4418 and 4425.

LCM(4418,4425) = 21×31×52×472×591
LCM(4418,4425) = 19549650

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1, 2, 47, 94, 2209, 4418

Factors of 4425

List of positive integer factors of 4425 that divides 4425 without a remainder.

1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425

Least Common Multiple of 4418 and 4425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4418 and 4425, than apply into the LCM equation.

GCF(4418,4425) = 1
LCM(4418,4425) = ( 4418 × 4425) / 1
LCM(4418,4425) = 19549650 / 1
LCM(4418,4425) = 19549650

Properties of LCM 4418 and 4425

(i) The LCM of 4425 and 4418 is associative

LCM of 4418 and 4425 = LCM of 4425 and 4418

Related Least Common Multiples of 4418

Related Least Common Multiples of 4425

Frequently Asked Questions on LCM of 4418 and 4425

1. What is the LCM of 4418 and 4425?

Answer: LCM of 4418 and 4425 is 19549650.

2. What are the Factors of 4418?

Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.

3. What are the Factors of 4425?

Answer: Factors of 4425 are 1, 3, 5, 15, 25, 59, 75, 177, 295, 885, 1475, 4425. There are 12 integers that are factors of 4425. The greatest factor of 4425 is 4425.

4. How to Find the LCM of 4418 and 4425?

Answer:

Least Common Multiple of 4418 and 4425 = 19549650

Step 1: Find the prime factorization of 4418

4418 = 2 x 47 x 47

Step 2: Find the prime factorization of 4425

4425 = 3 x 5 x 5 x 59

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

LCM = 19549650 = 2 x 3 x 5 x 5 x 47 x 47 x 59

Step 4: Therefore, the least common multiple of 4418 and 4425 is 19549650.