Least Common Multiple of 4421 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 4421 and 4425 the smallest integer that is 19562925 that is divisible by both numbers.

Least Common Multiple (LCM) of 4421 and 4425 is 19562925.

LCM(4421,4425) = 19562925

LCM of 4421 and 4425

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

LCM of:
and

Least Common Multiple of 4421 and 4425

LCM of 4421 and 4425 is 19562925

Least common multiple can be found by multiplying the highest exponent prime factors of 4421 and 4425. First we will calculate the prime factors of 4421 and 4425.

Prime Factorization of 4421


4421 4421
1

Prime factors of 4421 are 4421. Prime factorization of 4421 in exponential form is:

4421 = 44211

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 4421 and 4425.

LCM(4421,4425) = 31×52×591×44211
LCM(4421,4425) = 19562925

Factors of 4421

List of positive integer factors of 4421 that divides 4421 without a remainder.

1, 4421

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 4421 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 4421 and 4425, than apply into the LCM equation.

GCF(4421,4425) = 1
LCM(4421,4425) = ( 4421 × 4425) / 1
LCM(4421,4425) = 19562925 / 1
LCM(4421,4425) = 19562925

Properties of LCM 4421 and 4425

(i) The LCM of 4425 and 4421 is associative

LCM of 4421 and 4425 = LCM of 4425 and 4421

Related Least Common Multiples of 4421

Related Least Common Multiples of 4425

Frequently Asked Questions on LCM of 4421 and 4425

1. What is the LCM of 4421 and 4425?

Answer: LCM of 4421 and 4425 is 19562925.

2. What are the Factors of 4421?

Answer: Factors of 4421 are 1, 4421. There are 2 integers that are factors of 4421. The greatest factor of 4421 is 4421.

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 4421 and 4425?

Answer:

Least Common Multiple of 4421 and 4425 = 19562925

Step 1: Find the prime factorization of 4421

4421 = 4421

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 = 19562925 = 3 x 5 x 5 x 59 x 4421

Step 4: Therefore, the least common multiple of 4421 and 4425 is 19562925.